Motsi iri ɗaya a cikin da'irar kwance - matsaloli da mafita

1. Ana juya ƙwallon 0.2-kg, wanda aka haɗa a ƙarshen igiyar kwance, a cikin da'irar radius mai mita 1 kuma matsakaicin gudun ƙwallon shine 10 rpm. Menene girman ƙwallon. hanzarin tsakiya da kuma girman ƙarfin tashin hankali?

An sani:

Mass (m) = 0.2 kg

Radius (r) = 1 m

Aikacewar gudu (ω) = 10 rev/min = 10 rev/60 s = 0.17 rev/s = (0.17) (6.28 rad)/s = 1 rad/s

gudu (v) = r ω = (1 m)(1 rad/s) = 1 m/s

Ana so: as dan ΣF

Magani:

(a) Girman hanzarin centripetal

Motsi iri ɗaya a cikin da'irar kwance - matsaloli da mafita 1

(b) Girman ƙarfin tashin hankali

ΣF = ma

T = mas

T = (kilogiram 0.2)(mita 1/s2)

T = 0.2 kg m/s2

T = 0.2 N

2. Kwallo mai nauyin kilogiram 1 a ƙarshen igiya tana juyawa daidai gwargwado a cikin da'irar kwance ta radius mita 1. Igiyar za ta karye lokacin da matsin lamba a cikinta ya wuce N 100. Menene matsakaicin saurin da ƙwallon zai iya samu?

An sani:Motsi iri ɗaya a cikin da'irar kwance - matsaloli da mafita 2

Nauyi (m) = 1 kg

Radius (r) = mita 1

Ƙarfin tashin hankali (T) = centripetal karfi (ΣF) = 100 N

SE busca: v mafi girma

Magani:

Motsi iri ɗaya a cikin da'irar kwance - matsaloli da mafita 3

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  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a kan saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita

1. Mota tana zagaye lanƙwasa mai bandeji. Menene kusurwar hanya wacce take da lanƙwasa mai tsawon mita 60 tare da saurin ƙira na mita 20/s? A ɗauka babu gogayya tsakanin mota da hanya.

Magani

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 1N = ba ƙarfin yau da kullun

N zunubi θ = ɓangaren kwance na ƙarfin al'ada

N cos θ = bangaren tsaye na ƙarfin al'ada

w = mg = nauyi na motar

An tsara hanyar ne don a yi mata bandeji domin kawar da dogaro da gogayya.

Ƙarfin kwance na raga, ɓangaren kwance na ƙarfin al'ada (N zunubi θ), ana buƙatar ci gaba da tafiya da motar a cikin da'ira a kusa da lanƙwasa.

Mun zaɓi axis na x a matsayin kwance da axis na y a matsayin tsaye, don haka hanzarta centripetal, aR, yana kan hanyar kwance. A cikin hanyar kwance, ƙarfin kawai shine ɓangaren kwance na ƙarfin al'ada (N zunubi θ), wanda ake buƙata don samar da hanzarin tsakiya. N sin θ = centripetal karfi.

Yi amfani da dokar motsi ta Newton a tsaye:

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 5

A yi amfani da dokar motsi ta Newton a kan alkiblar kwance:

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 7

MadadinTing N a cikin lissafi 1 zuwa N a cikin lissafi 2 :

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 1

[wpdm_package id='497′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Zagaye lanƙwasa mai faɗi - yanayin matsalolin motsi na zagaye da mafita

1. Mota mai nauyin kilogiram 2000 tana zagaye da lanƙwasa a kan wata hanya mai faɗi mai tsawon mita 150. gogayya mara motsi shine 0.5. A tantance matsakaicin gudun don motar ta bi lanƙwasa kuma kada ta zame. Hanzarta saboda nauyi = 10m/s2.

An sani:

Mass (m) = 2000 kg

Radius (r) = mita 150

Coefficient na gogayya mai motsi (μs) = 0.5

Weight (w) = mg = (2000 kg)(10 m/s2) = 20,000 kg m/s2 = 20,000N

Ƙarfin gogayya mai motsi (F)s) = μs N = μs w = (0.7)(20,000 N) = 14,000 N

Ana nema : v

Magani:

Zagaye lanƙwasa mai faɗi - yanayin matsalolin motsi na zagaye da mafita 1

[wpdm_package id='496′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita

1. Tasoshi biyu m1 = 2 kg da m2 = 5 kg suna kan wani jirgin sama mai karkata kuma an haɗa su tare da igiya kamar yadda aka nuna a cikin hoton. Ma'aunin gogayya tsakanin m1 kuma karkacewa shine 0.2 kuma ma'aunin gogayya ta motsi tsakanin m2 kuma karkata shine 0.1.

(a) Tabbatar da matsayinsu hanzari

(b) Ƙayyade ƙarfin tashin hankali

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 1

An sani:

Mass 1 (m1) = 2kg

Tashi 2 (m2) = 4kg

Daidaiton gogayya tsakanin m1 da kuma jirgin sama mai karkata (μk1) = 0.2

Daidaiton gogayya tsakanin m2 da kuma jirgin sama mai karkata (μ)k2) = 0.1

Hanzarta saboda nauyi (g) = 9.8 m/s2

a) Girma da alkiblar saurin gudu

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 2

w1 = nauyi 1 = m1 g = (kilogiram 2)(mita 9.8/s2) = 19.6 Newton

w1x = w1 ba 30o = (19.6 N)(0.5) = 9.8 Newtons

w1y = w1 kowa 30o = (19.6 N)(0.87) = 17 Newtons

N1 = Da ƙarfin yau da kullun a kan m1 = w1y = 17 Newton

Fk1 = Ƙarfin gogayya ta motsi akan m1 = μk1 N1 = (0.2)(17 N) = 3.4 Newton

---

w2 = nauyi 2 = m2 g = (kilogiram 4)(mita 9.8/s2) = 39.2 Newton

w2x = w2 ba 60o = (39.2 N)(0.87) = 34.1 Newtons

w2y = w2 kowa 60o = (39.2 N)(0.5) = 19.6 Newtons

N2 = Ƙarfin da aka saba da shi akan m2 = w2y = 19.6 Newton

Fk2 = Ƙarfin gogayya ta motsi akan m2 = μk2 N2 = (0.1)(19.6 N) = 1.96 Newton

---

Girman hanzarin:

ΣFx = max

w2x > w1x don haka alkiblar hanzarin daidai take da alkiblar w2x.

Ƙarfin da ke nuna guduwa yana da kyau, kuma ƙarfin da ke da akasin alkiblar guduwa yana da korau.

w2x - Fk2 - T2 + T1 - w1x - Fk1 = (m1 +m2) da kumax

w2x - Fk2 - w1x - Fk1 = (m1 +m2 ) da kumax

34.1 N - 1.96 N - 9.8 N - 3.4 N = (2 kg + 4 kg) ax

18.94 N = (6 kg) ax

ax = 18.94 N: 6 kg

ax = 3.16m/s2

Girman hanzarin = 3.16 m/s2 Alkiblar hanzarin = alkiblar T1 = alkiblar w2x

b) Girman ƙarfin tashin hankali

Yi amfani da dokar Newton ta biyu akan abu na 2:

w2x - Fk2 - T2 = m2 ax

34.1 N – 1.96 N – T2 = (kilogiram 4)(mita 3.16/s2)

32.14 N – T2 = 12.64N

T2 = 32.14 N – 12.64 N = 19.5 Newtons

Ƙarfin tashin hankali = T = T1 = T ba2 = 19.5 Newton

2. m1 = 4 kg, m2 = 2 kg. Kayyade (a) girma da alkiblar hanzarin (b) Girman ƙarfin tashin hankali wanda ke haɗa m1 kuma m2 (c) girman ƙarfin tashin hankali wanda ke haɗa pulley da rufin.

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 3

Magani

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 4

w1 = m1 g = (kilogiram 4)(mita 9.8/s2) = 39.2 Newton

w2 = m2 g = (kilogiram 2)(mita 9.8/s2) = 19.6 Newton

a) Girma da alkiblar saurin gudu

ΣFy = may

w1 > w2 don haka alkiblar abin iri ɗaya ce da alkiblar nauyin 1 (w1)Ƙarfin da ke da alkibla iri ɗaya da hanzari suna da kyau kuma ƙarfin da ke da alkibla akasin gudu suna da korau.

w1 - T1 + T2 - w2 = (m1 +m2) da kumay

w1 - w2 = (m1 +m2) da kumay

39.2 N - 19.6 N = (4 kg + 2 kg) ay

19.6 N = (6 kg) ay

ay = 19.6 N: 6 kg

ay = 3.26m/s2

Girman hanzari = 3.26 m/s2Alkiblar hanzari = alkiblar w1 .

b) Girman ƙarfin tashin hankali wanda ke haɗa m1 kuma m2

Aiwatar Dokar Newton ta biyu a kan m2 :

ΣFy = may

w1 - T1 = m1 ay

39.2 N – T1 = (kilogiram 4)( 3.26 m/s2)

39.2 N – T1 = 13.04N

T1 = 39.2 N – 13.04 N

T1 = 26.16 Newton

Girman ƙarfin tashin hankali wanda ke haɗa abubuwa = T = T1 = T ba2 = 26.16 Newton

c) Girman ƙarfin tashin hankali wanda ke haɗa pulley da rufin.

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 5Pulley yana hutawa:

ΣFy = may —— ay = 0

ΣFy = 0

Ƙarfin sama yana da kyau, ƙarfin ƙasa kuma yana da korau:

T3 - T1 - T2 = 0

T3 = T ba1 + T2

T1 da kuma T2 suna da irin wannan girma, T1 = T ba2 = T = 26.16 N:

T3 = 2T = 2(26.16 N) = 52.32 Newtons

3. Toshe na 1 (m1 = 10 kg) da kuma toshe 2 (m2 = 15 kg) wanda aka haɗa ta hanyar igiya akan pulley mara gogayya. Ma'aunin gogayya mai tsayawa tsakanin toshe 2 tare da karkacewa = 0.6. Ma'aunin gogayya mai motsi tsakanin toshe 2 tare da karkacewa = 0.42. Ƙayyade (a) Girman ƙaramin ƙarfin F da aka yi akan abubuwan don abubuwan su hanzarta sama (b) Ƙayyade girman ƙarfin tashin hankali.

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 6

Magani

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 7

w1 = Nauyin tubalin 1 = m1 g = (kilogiram 10)(mita 9.8/s2) = 98 Newton

w2 = Nauyin tubalin 2 = m2 g = (kilogiram 15)(mita 9.8/s2) = 147 Newton

w2y = w2 kowa 30o = (147 N)(0.87) = 127.89 Newtons

w2x = w2 ba 30o = (147 N)(0.5) = 73.5 Newtons

N2 = Ƙarfin da aka saba da shi akan toshe 2 = w2y = 127.89 Newton

Fk2 = Ƙarfin gogayya mai motsi akan toshe 2 = μk2 N2 = (0.42)(127.89 N) = 53.7 Newton

Fs2 = Ƙarfin gogayya mai tsauri akan toshe 2 = μs2 N2 = (0.6)(127.89 N) = 76.7 Newton

a) Girman ƙaramin ƙarfin F da aka yi wa abubuwan don haka abubuwan suka yi sauri sama

ΣFx = max —— ax = 0

ΣFx = 0

Sojojin sama da na dama suna da kyau, sojojin ƙasa kuma na hagu suna da kyau.

F – Fk2 - w2x - w1 - T2 + T1 = 0

F – Fk2 - w2x - w1 = 0

F = Fk2 +w2x +w1

F = 53.7 N + 73.5 N + 98 N

F = 225.2 Newton

b) Girman ƙarfin tashin hankali

Yi amfani da dokar motsi ta Newton a kan toshe na 1:

ΣFy = may —— ay = 0

ΣFy = 0

T1 - w1 = 0

T1 = w1 = 98 Newton

Yi amfani da dokar motsi ta Newton a kan toshe na 2:

F – Fk2 - w2x - T2 = 0

T2 = F – Fk2 - w2x

T2 = 225.2 N – 53.7 N – 73.5 N

T2 = 98 Newton

Girman ƙarfin tashin hankali = T1 = T ba2 = T = 98 Newton

4. Toshe na 1 (m1 = 16 kg) yana kwance a kan saman kwance kuma tubalin 2 (m)2 = 12 kg) yana kwance a kan wani jirgin sama mai santsi, wanda aka haɗa ta da igiya da ke ratsa ƙaramin injin jan ƙarfe mara gogayya. Toshe na 3 (m)3 = 5 kg) yana kan toshe na 2. Matsakaicin gogayya tsakanin toshe na 2 da saman kwance shine 0,4. CoefMa'aunin da ke tsakanin toshe 2 da toshe 3 shine 0,3.

(A) Idan aka saki tsarin daga hutu, toshe na 3 da toshe na 2 har yanzu suna zamewa tare?

(B) Idan akwai toshe na 3, menene hanzarin toshe na 1 da toshe na 2?

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 8

Magani:

a) Idan aka saki tsarin daga hutu, toshe na 3 da toshe na 2 har yanzu suna zamewa tare?

Jikuna biyu masu girman hanzari iri ɗaya - Aiwatar da dokar Newton ta matsalolin motsi da mafita 9

w1 = Da nauyin toshe 1 = m1 g = (kilogiram 16)(mita 9.8/s2) = 156.8 Newton

w1x = w1 ba 60o = (156.8 N)(0.87) = 136.4 Newtons

w1y = w1 kowa 60o = (156.8 N)(0.5) = 78.4 Newtons

N1 = Da ƙarfin da aka saba amfani da shi a kan toshe 1 ta hanyar jirgin sama mai karkata = w1y = 78.4 Newton

w3 = Da nauyin toshe 3 = m3 g = (kilogiram 5)(mita 9.8/s2) = 49 Newton

N23 = Da ƙarfin da aka saba amfani da shi a kan toshe na 3 ta hanyar toshe na 2 = w3 = 49 Newton

N32 = Nƙarfin da aka saba amfani da shi a kan toshe na 2 ta hanyar toshe na 3 = N23 = w3 = 49 Newton

(N23 da kuma N32 su ne nau'i-nau'i biyu na aiki-amsawa)

Fs23 = Da ƙarfin gogayya mai tsauri da aka yi a kan toshe 3 ta toshe 2 = μs N23 = (0.3)(49 N) = 14.7 Newton

Fs32 = Da ƙarfin gogayya mai tsauri da aka yi a kan toshe na 2 ta toshe na 3 = Fs23 = 14.7 Newton

(Fs23 da kuma Fs32 su ne nau'i-nau'i biyu na aiki-amsawa)

w2 = Da nauyin tubalin 2 = m2 g = (kilogiram 12)(mita 9.8/s2) = 117.6 Newton

N2 = Da Ƙarfin da aka saba amfani da shi akan abu 2 ta saman kwance = w2 +N32 = 117.6 Newtons + 49

Newton = 166.6 Newton

Fk2 = Da ƙarfin gogayya mai motsi a kan toshe na 2 = μk N2 = (0.4)(166.6 N) = 66.64 Newton

Yi amfani da dokar motsi ta Newton a kan toshe na 3:

ΣFx = max

Fs23 =m3 ax

—–> Fs23 = μs N23 = μs w3 = μs m3 g

μs m3 g=m3 ax

μs g = ax

ax = (0.3)(9.8 m/s2) = 2.94 m/s2

Matsakaicin hanzarin toshe na 3 don toshe na 3 da toshe na 2 su ci gaba da zamewa tare shine 2.94 m/s2.

Yanzu mun ƙididdige girman saurin tsarin bayan an sake shi daga hutu.

Alkiblar matsar da tubalan = alkiblar hanzarta tubalan = alkiblar T2 = alkiblar w1x.

ΣFx = max

w1x - T1 + T2 - Fk2 - Fs32 +Fs23 = (m1 +m2 +m3) da kumax

w1x - Fk2 = (m1 +m2 +m3 ) da kumax

136.4 N - 66.64 N = (16 kg + 12 kg + 5 kg) ax

69.76 N = (33 kg) ax

ax = 2.11m/s2

ax yana da kyau, yana nufin alkiblar matsar da tubalan ko alkiblar hanzarin daidai yake da alkiblar T2 ko kuma alkiblar w1x.

Girman hanzarin shine 2.11 m / s2 , lfiye da bashin 2.94 m / s2 don haka za mu iya kammala da cewa toshe na 3 da toshe na 2 har yanzu suna zamewa tare bayan an sake su daga hutu.

b) Girman hanzarin toshe 1 da toshe 2

ΣFx = max

w1x - Fk2 = (m1 +m2) da kumax

—–> Fk2 = μk N2 = μk w2 = μk m2 g = (0.4)(kilogiram 12)(mita 9.8/s2) = 47.04 Newton

136.4 N - 47.04 N = (16 kg + 12 kg) ax

89.36 N = (28 kg) ax

ax = 89.36 N: 28 kg = 3.19 m/s2

[wpdm_package id='493′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Daidaiton gawawwaki a kan wani babban titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton

1. Toshe mai nauyin kilogiram 2 yana kwance a kan wani jirgin sama mai karkata a kusurwa 37o zuwa kwance. Kayyade girman ƙarfin waje da aka yi amfani da shi a kan toshe, don haka toshen bai zame ƙasa ba. (syn 37)o = 0.6, cos 37o = 0.8, g = 10 ms-2, µk = 0.2)

Daidaiton gawawwakin da ke kan titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton 1An sani:

Mass (m) = 2 kg

Hanzarta saboda nauyi (g) = 10 m/s2

Block's nauyi (w) = mg = (2)(10) = 20 Newtons

Zunubi 37o = 0.6

Kos 37o = 0.8

Coefficient na gogayya ta motsi (µk) = 0.2

y-partion na nauyin (w)y) = w kowa 37o = (20)(0.8) = 16 Newton

Sashen x na nauyin (w)x) = w sin θ = (20) (zunubi 37) = (20) (0.6) = 12 Newtons

ƙarfin yau da kullun (N) = wy = 16 Newton

Nema : Ƙarfin waje (F)

Magani :

Daidaiton gawawwakin da ke kan titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton 2wx = 12 Newton

Ƙarfin gogayya mai motsi (f)k) = µk N = (0.1)(16) = 1.6 Newton

Girman ƙarfin waje F da aka yi a kan tubalin :

F + fk - wx = 0

F = wx - fk

F = 12 – 1.6

F = 10.4 Newton

Ƙarfin waje F ya fi Newtons 10.4 girma.

2. Nauyin toshe = 2 kg, ma'aunin gogayya mai tsauri µs = 0.4 da θ = 45oKayyade girman ƙarfin F don haka toshewar ta fara zamewa sama.

Daidaiton gawawwakin da ke kan titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton 3An sani:

Ma'aunin gogayya mai tsauri (µ)s) = 0.4

Kusurwoyi (θ) = 45o

Saurin gudu saboda nauyi (g) = 10 m/s2

Nauyin tubalan (m) = kilogiram 2

Nauyin tubalan (w) = mg = (2 kg)(10 m/s)2) = 20 kg m/s2 = 20 Newton

Sashen x na nauyin (w)x) = w zunubi θ = (20) (zunubi 45) = (20) (0.5√2) = 10√2 Newtons

y-partion na nauyin (w)y) w cos θ = (20) (cos 45) = (20) (0.5√2) = 10√2 Newtons

Nema : Girman ƙarfin F

Magani:

Daidaiton gawawwakin da ke kan titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton 4Toshe zai fara zamewa sama, idan F ≥ wx + fs.

Sashen x na nauyin:

wx = 10√2 Newton

bangaren y na nauyin :

wy = 10√2 Newton

Ƙarfin al'ada :

N = wy = 10√2 Newton

Ƙarfin gogayya mai motsi :

fs = µs N = (0,4)(10√2) = 4√2

Girman ƙarfin F don haka toshewar ta fara zamewa sama :

F ≥ wx + fs

F ≥ 10√2 + 4.2

F ≥ 14√2 Newton

[wpdm_package id='492′]

  1. Ƙwayoyin cuta a cikin ma'auni ɗaya
  2. Ƙwayoyin cuta a cikin ma'auni mai girma biyu
  3. Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo
  4. Daidaiton jikin da ke kan jirgin da aka karkata

Karin bayani

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton

1. Akwati na taro 5 kg yana kan jirgin sama mai karkata a kusurwa 30oAkwatin yana da igiya. Ƙayyade ƙarfin tashin hankali (T) da ƙarfin yau da kullun (N)!

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 1

Magani

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 2ΣFx = 0

T - w sin 30o = 0

T = w zunubi 30o

T = (kilogiram 5)(mita 9.8/s2) zunubi 30o

T = (49)(0.5)

T = 24.5 Newtons

ΣFy = 0

N – w cos 30o = 0

N = w cos 30o

N = (49)(0.87)

N = 43 Newton

2. Abubuwa biyu na taro m1 = m2 = 2 kg, an haɗa shi da igiya mara nauyi a kan wani kurfi mara gogayya. Nemo ƙarfin tashin hankali T1 da kuma T2.

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 3

Magani

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 4

(a) Zane-zanen jiki kyauta don abu na 1 (b) Zane-zanen jiki kyauta don abu na 2

Yi amfani da dokar farko ta Newton ga ƙin yarda ta 1:

ΣFy = 0

T1 - w1 = 0

T1 = w1 = m1 g = (kilogiram 2)(mita 9.8/s2) = 19.6 N

Aiwatar Dokar farko ta Newton zuwa ga abu na 2:

ΣFy = 0

T2 - w2 = 0

T2 = w2 = m2 g = (kilogiram 2)(mita 9.8/s2) = 19.6 N

T1 = T ba2 = N19.6.

3. Wani abu na nauyi wA = 30 N da abu mai nauyi wB = 40 N, an haɗa su da igiya mai sauƙi wacce ke ratsa wani kurji mara gogayya na nauyin da ba shi da yawa. Kayyade ma'aunin matsakaicin gogayya mara motsi tsakanin wB da kuma saman da aka karkata, idan tsarin yana hutawa.

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 5

Magani

Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo - amfani da matsalolin da mafita na dokar farko ta Newton 6

(a) Zane-zanen jiki kyauta don abu wA (b) Zane-zanen jiki kyauta don abu wB

Aiwatar da dokar farko ta Newton ga ƙin yarda wA a tsaye (y) alkibla:

ΣFy = 0 (babu hanzari a tsaye)

T – wA = 0

T = wA = 30 Newton

Aiwatar da dokar farko ta Newton ga ƙin yarda wB a tsaye alkiblar (y) :

ΣFy = 0

N – wB kowa 45o = 0

N = wB kowa 45o = (40)(0.7) = 28 Newton

Aiwatar da dokar farko ta Newton ga ƙin yarda wB a cikin alkiblar kwance (x):

ΣFx = 0

Fk +wB ba 45o T = 0

μs N + wB ba 45o T = 0

μs (28) + (40)(0.7) – 30 = 0

μs (28) + 28 – 30 = 0

μs (28) = 30 – 28

μs (28) = 2

μs = 2/28

μs = 0.07

Ma'aunin matsakaicin gogayya mai canzawa tsakanin wB da kuma saman da aka karkata = 0.07.

[wpdm_package id='490′]

  1. Ƙwayoyin cuta a cikin ma'auni ɗaya
  2. Ƙwayoyin cuta a cikin ma'auni mai girma biyu
  3. Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo
  4. Daidaiton jikin da ke kan jirgin sama mai karkata

Karin bayani

Barbashi a cikin daidaito mai girma biyu - aikace-aikacen matsalolin da mafita na dokar farko ta Newton

1. Nemo ƙarfin tashin hankali T1, T2, kuma T3Ka yi watsi da igiya taro.

Ƙwayoyin cuta a cikin daidaito mai girma biyu - amfani da matsalolin dokar farko ta Newton da mafita 1

Magani

Ƙwayoyin cuta a cikin daidaito mai girma biyu - amfani da matsalolin dokar farko ta Newton da mafita 2

(a) Zane-zanen jiki kyauta ga abu (b) Zane-zanen jiki kyauta ga igiya

Aiwatar da Dokar farko ta Newton akan abu:

ΣFy = 0

T1 – w = 0

T1 = w = mg

T1 = (kilogiram 5)(mita 9.8/s2)

T1 = kilogiram 49 m/s2

T1 = 49N

Yi amfani da dokar farko ta Newton a kan igiyar:

ΣFx = 0

T3x - T 2x = 0

T3 kowa 30o - T2 kowa 40o = 0

0.87 T3 - 0.77 T2 = 0

0.87 T3 = T 0.772

T2 = T 0.873 / 0.77 = T 1.13 ———- Daidaito ta 1

-

ΣFy = 0

T3y + T2y - T1y = 0

T3 ba 30o + T2 ba 40o - T1 = 0

0.5 T3 + 0.64 T2 – 49 N = 0 ———- Daidaito na 2

Madadin T2 a cikin lissafi na 2 cikin lissafi na 2:

0.5 T3 + 0.64 (T 1.1)3) – 49 N = 0

0.5 T3 + 0.70 T3 - 49 = 0

1.2 T3 - 49 = 0

1.2 T3 = 49

T3 = 49/1.2

T3 = 41N

---

T2 = T 1.13

T2 = (1.1)(40.8 N)

T2 = 45N

[wpdm_package id='488′]

  1. Ƙwayoyin cuta a cikin ma'auni ɗaya
  2. Ƙwayoyin cuta a cikin ma'auni mai girma biyu
  3. Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo
  4. Daidaiton jikin da ke kan jirgin sama mai karkata

Karin bayani

Barbashi a cikin daidaiton girma ɗaya - aikace-aikacen matsalolin da mafita na dokar farko ta Newton

1. Mass na wani abu, m = 10 kg, wanda igiya ke tallafawa. Nemo tashin hankali a cikin igiyar! g = 10 m/s2

Barbashi a cikin daidaito mai girma ɗaya - amfani da matsalolin dokar farko ta Newton da mafita 1An sani:

Nauyi (m) = 10 kg

Hanzarta saboda nauyi (g) = 10 m/s2

Ana so: Ƙarfin tashin hankali (T)

Magani:

ΣFy = 0

T – w = 0

T = w

T = mg

T = (kilogiram 10)(mita 10/s2) = 100 kg m/s2

T = 100 Newtons

2. Nauyin abu shine kilogiram 10. Nemo matsin lamba a cikin igiyar….. Saurin gudu saboda nauyi = 10 m/s2.

Magani

An sani:

Nauyi (m) = 10 kg

Saurin gudu saboda nauyi (g) = 10 m/s2.

Ana so: Ƙarfin tashin hankali (T)

Magani:

Barbashi a cikin daidaito mai girma ɗaya - amfani da matsalolin dokar farko ta Newton da mafita 2w = nauyi = mg = (10 kg)(10 m/s2)) = 100 kg m/s2

T1 = ƙarfin tashin hankali 1

T1x = sashin x na ƙarfin tashin hankali 1 = T1 kowa 45o = T 0.71

T1y = bangaren y na ƙarfin tashin hankali 2 = T1 ba 45o = T 0.71

T2 = ƙarfin tashin hankali 2

T2x = sashin x na ƙarfin tashin hankali 2 = T2 kowa 45o = T 0.72

T2y = bangaren y na ƙarfin tashin hankali 2 = T2 ba 45o = T 0.72

Yanayin daidaito ΣF = 0.

y axis:

ΣFy = 0

T1y + T2y – w = 0

0.7T1 + 0.7T2 - 100 = 0

0.7T1 + 0.7T2 = 100 —– lissafi 1

x axis:

ΣFx = 0

T2x - T1x = 0

0.7T2 – 0.7T1 = 0

0.7T2 = 0.7T1

T2 = T ba1 —– lissafi na 2

Ƙayyade girman T1 :

0.7T1 + 0.7T1 = 100

1.4T1 = 100

T1 = 100/1.4

T1 = 71.4 Newton

T1 = T ba2 haka T2 = 71.4 Newton

[wpdm_package id='486′]

  1. Ƙwayoyin cuta a cikin ma'auni ɗaya
  2. Ƙwayoyin cuta a cikin ma'auni mai girma biyu
  3. Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo
  4. Daidaiton jikin da ke kan jirgin sama mai karkata

Karin bayani

Jikunan da aka haɗa ta hanyar igiya da pulley - aikace-aikacen dokar Newton ta matsalolin motsi da mafita

1. An haɗa akwatuna biyu ta hanyar igiya da ke kan pulley. Yi watsi da nauyin igiyar da pulley da duk wani gogayya a cikin pulley. Mass na akwatin 1 = 2 kg, nauyin akwatin 2 = 3 kg, hanzari saboda nauyi = 10m/s2. Nemo (a) Saurin tsarin (b) Tashin hankali a cikin igiyar!

Jikunan da aka haɗa ta hanyar igiya da pulley - amfani da dokar Newton ta matsalolin motsi da mafita 1

Magani

Jikunan da aka haɗa ta hanyar igiya da pulley - amfani da dokar Newton ta matsalolin motsi da mafita 2An sani:

Nauyin akwatin 1 (m1) = 2 kg

Nauyin akwatin 2 (m2) = 3 kg

Saurin gudu saboda nauyi (g) = 10 m/s2

Weight na akwatin 1 (w1) = m1 g = (2)(10) = 20 Newton

Nauyin akwatin 2 (w)2) = m2 g = (3)(10) = 30 Newton

Magani:

(a) girma da alkiblar saurin gudu

w2 > w1 don haka Akwati na 2 yana sauri ƙasa kuma akwatin na 1 yana sauri sama.

Ƙarfin da ke da alkibla iri ɗaya tare da hanzari (w)2 da kuma T1), alamarsa tana da kyau. Ƙarfin da ke da akasin alkibla ga hanzari (T2 da w1), alamarsa ba ta da kyau.

ΣF = ma

w2 - T2 + T1 - w1 = (m1 +m2) a ——-> T1 = T ba2 = T ba

w2 – T + T – w1 = (m1 +m2) da kuma

w2 - w1 = (m1 +m2) da kuma

30 – 20 = (2 + 3) a

10 = 5 a

a = 10/5

a = 2 m/s2

Girman hanzari shine 2 m/s2.

(b) Ƙarfin tashin hankali

Akwati na 2:

Akwai ƙarfi guda biyu a kan akwatin 2: na farko, nauyin akwatin 2 (w)2), yana nuna ƙasa don haka yana da kyau. Na biyu, ƙarfin tashin hankali da aka yi a kan akwatin 2 (T)2), yana nuna sama don haka yana da korau. Aiwatar Dokar Newton ta biyu na motsi.

ΣF = ma

w2 - T2 = m2 a

30-T2 = (3)(2)

30-T2 = 6

T2 = 30-6

T2 = 24 Newton

Akwati na 1:

Akwai hanyoyi guda biyu na aiki a cikin akwati na 1. Da farko, nauyin akwatin 1 (w1), yana nuna ƙasa don haka yana da korau. Na biyu, ƙarfin tashin hankali da aka yi a kan akwatin 1 (T1) yana nuna sama don haka yana da kyau. Yi amfani da dokar motsi ta biyu ta Newton:

ΣF = ma

T1 - w1 = m1 a

T1 – 20 = (2)(2)

T1 - 20 = 4

T1 = 20 + 4

T1 = 24 Newton

Girman ƙarfin tashin hankali = T1 = T ba2 = T = 24 Newton

2. Abu a kan wani wuri mai kauri a kwance. Nauyin abu 1 = 2 kg, nauyin abu 2 = 4 kg, hanzarin nauyi saboda nauyi = 10 m/s2, ma'aunin gogayya mai tsauri = 0.4, ma'aunin gogayya mai motsi = 0.3. Tsarin yana hutawa ko yana hanzarta? Idan tsarin ya hanzarta, nemo girma da alkiblar hanzarin tsarin!

Jikunan da aka haɗa ta hanyar igiya da pulley - amfani da dokar Newton ta matsalolin motsi da mafita 3

Magani

Jikunan da aka haɗa ta hanyar igiya da pulley - amfani da dokar Newton ta matsalolin motsi da mafita 4An sani:

Nauyin abu 1 (m1) = 2 kg

Nauyin abu 2 (m2) = 4 kg

Saurin gudu saboda nauyi (g) = 10 m/s2

Coefficient na gogayya mara motsi (μs) = 0.4

Matsakaicin gogayya ta motsi (μk) = 0.3

Nauyin abu 1 (w)1) = m1 g = (2)(10) = 20 Newton

Nauyin abu 2 (w)2) = m2 g = (4)(10) = 40 Newton

ƙarfin al'ada an yi aiki a kan abu 1 (N) = w1 = 20 Newton

Ƙarfin gogayya mai motsi da aka yi wa abu 1 (f)s) = μs N = (0.4)(20) = 8 Newton

Ƙarfin gogayya mai motsi da aka yi wa abu 1 (f)k) = μk N = (0.3)(20) = 6 Newton

SE busca: hanzari (a)

Magani:

w2 > fs (40 Newton > 8 Newton) don haka ana hanzarta abu na 2 a tsaye zuwa ƙasa kuma ana hanzarta abu na 1 a kwance zuwa dama. Ƙarfin gogayya da ke aiki akan abubuwa na 1 shine ƙarfin gogayya mai motsi (f)k). Yi amfani da dokar motsi ta biyu ta Newton:

ΣF = ma

w2 - da = (m1 +m2) da kuma

40 – 6 = (2 + 4) a

34 = 6 a

a = 34 / 6 = 17 / 3

a = 5.7 m/s2

Girman hanzarin = 5.7 m/s2

[wpdm_package id='484′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Aiwatar da dokar motsi ta Newton a cikin lif - matsaloli da mafita

1. Mutum mai nauyin kilogiram 50 a cikin lif. Hanzarta saboda nauyi = 10m/s2Ƙayyade ƙarfin yau da kullun lif ɗin da aka yi amfani da shi a kan abin, idan:

(a) lif ɗin yana hutawa

(b) lif ɗin yana tafiya ƙasa a saurin da ya dace

(c) lif yana hanzarta zuwa sama a hanzari akai-akai 5 / s2

(d) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa2

(e) lif a cikin faɗuwa kyauta

Magani

Aiwatar da dokar motsi ta Newton akan lif - matsaloli da mafita 1An sani:

Na mutum taro (m) = 50 kg

Saurin gudu saboda nauyi (g) = 10 m/s2

Weight (w) = mg = (50)(10) = 500 Newtons

SE busca: Ƙarfin al'ada (N)

Magani:

(a) lif ɗin yana hutawa

Lif ɗin yana hutawa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a alkiblar kyau, yayin da muke zaɓar alkiblar ƙasa a alkiblar mara kyau.

ΣF = ma

N – w = 0

N = w

N = 500 Newton

(b) lif ɗin yana tafiya ƙasa a kan gudu mai ɗorewa

Saurin gudu mai ɗorewa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a alkiblar kyau, yayin da muke zaɓar alkiblar ƙasa a alkiblar mara kyau.

ΣF = ma

N – w = 0

N = w

N = 500 Newton

(c) lif yana hanzarta hawa sama a daidai lokacin da yake gudun mita 5/s2

Alkiblar hanzarin tana sama, don haka muka zaɓi alkiblar da ta dace kamar sama.

N – w = ma

N = w + ma

N = 500 + (50)(5)

N = 500 + 250

N = 750 Newton

Mutumin yana jin ƙasan yana matsawa sama da ƙarfi fiye da lokacin da lif ɗin yake tsaye ko kuma yana motsi da gudu mai ɗorewa.

Idan mutum ya tsaya a kan sikelin, sikelin yana nuna girman ƙarfin ƙasa da mutumin da ke kan sikelin ke yi. Ta hanyar dokar Newton ta uku, wannan yana daidai da girman ƙarfin sama na yau da kullun da sikelin ke yi a kan mutum.

(d) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa2

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – N = ma

N = w – ma

N = 500 – (50)(5)

N = 500 – 250

N = 250 Newton

Nauyin mutum shine N250, ƙasa da ainihin nauyin w = N500.

(e) lif a cikin faɗuwar 'yanci

Faɗuwa daga kan hanya yana nufin saurin lif ɗin yayi daidai da saurin da aka samu saboda nauyi. Girman saurin da aka samu sakamakon nauyi shine 9,8 m/s2, alkiblar ta tana ƙasa zuwa tsakiyar Duniya. Saurin yana ƙaruwa a layi a cikin lokaci da 9,8 m/s a kowane daƙiƙa.

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – N = ma

N = w – ma

N = 500 – (50)(10)

N = 500 – 500

N = 0

2. Ƙayyade matsin lamba a cikin kebul na lif. Nauyin lif = 2000 kg.

(a) lif ɗin yana hutawa

(B) lif yana hanzarta sauka ƙasa a daidai lokacin da yake gudun mita 5/s2

(C) Lif ɗin ya yi sauri sama da mita 5/s2

(d) lif a lokacin faɗuwar rana

Saurin gudu saboda nauyi (g) = 10 m/s2

Magani

Aiwatar da dokar motsi ta Newton akan lif - matsaloli da mafita 2An sani:

Nauyin lif (m) = 2000 kg

Saurin nauyi (g) = 10 m/s2

nauyi (w) = mg = (2000)(10) = 20,000 Newtons

Ana so: Ƙarfin tashin hankali (T)

Magani:

(a) lif ɗin yana hutawa

lif yana hutawa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a matsayin alkibla mai kyau, yayin da muke zaɓar alkiblar ƙasa a matsayin alkibla mara kyau.

ΣF = ma

T – w = 0

T = w

T = 20,000 Newtons

Tashin hankali a cikin kebul (T) = nauyin lif (w) = 20,000 Newtons

(b) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa2

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – T = ma

T = w – ma

T = 20,000 – (2000)(5)

T = 20,000 – 10,000

T = 10,000 Newtons

c) lif yana hanzarta hawa sama a daidai lokacin da yake gudun mita 5/s2

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar sama.

T – w = ma

T = w + ma

T = 20,000 + (2000)(5)

T = 20,000 + 10,000

T = 30,000 Newtons

(d) lif a lokacin faɗuwar rana

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – T = ma

T = w – ma

T = 20,000 – (2000)(10)

T = 20,000 – 20,000

T = 0

[wpdm_package id='482′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin jiki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani