Mavuto Othetsedwa mu Fiziki Yoyambira

Mavuto Othetsedwa mu Kuyenda Molunjika - Zinthu zomwe zimagwa momasuka

1. Chinthu chogwa kuchokera pamwamba pa phiri. Chimawoneka kuti chagunda pansi pa masekondi atatu. Dziwani liwiro lake musanagunde pansi. Kuthamanga kwa mphamvu yokoka ndi 10 m/s ² . Musanyalanyaze kukana madzi.

Zodziwika:

Liwiro loyambirira (v _o ) = 0 (chinthu chatsitsidwa)

Nthawi yopuma (t) = masekondi atatu

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: Liwiro lomaliza (v _t )

Yankho:

Kuthamanga chifukwa cha mphamvu yokoka pamwamba pa dziko lapansi, kukula kwake ndi 9.8 m/s ^2. Kuti kuwerengera kukhale kosavuta, timagwiritsa ntchito 10 m/s ².

10 m/s ² kapena 10 m/s / 1 sekondi, zikutanthauza kuti liwiro limawonjezeka molunjika munthawi ndi 10 m/s pa sekondi iliyonse.

Pambuyo pa sekondi imodzi, liwiro la chinthu = 10 m/s

Pambuyo pa masekondi awiri, liwiro la chinthucho = 20 m/s

Pambuyo pa masekondi atatu, liwiro la chinthucho = 30 m/s.

Tingagwiritsenso ntchito ma equation a kinematic poyenda mothamanga nthawi zonse , monga momwe tawonetsera pansipa.

v _t = vo ₊ pa

s = vot ₊ ½ pa ²

v _t ² = v _o ² + 2 monga

Kugwa kwaulere kulibe liwiro loyambirira (v _o = 0), kotero equation yomwe ili pamwambapa ikhoza kusinthidwa monga momwe tawonetsera pansipa:

Chiyerekezo cha kuyenda kogwa kwaulere :

v _t = gt ………… 1

h = ½ gt ² ………… 2

v _t ² = 2 gh ………….. 3

v _t = gt

v _t = (10)(3)

v _t = 30 m/s

Liwiro lomaliza ndi 30 m/s

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2. Thupi limagwa momasuka kuchokera pamalo opumula, kuchokera kutalika kwa mamita 25. Pezani (a) Liwiro lomwe limagunda pansi. (b) Nthawi yomwe imatenga kuti lifike pansi.

Kuthamanga chifukwa cha mphamvu yokoka pamwamba pa Dziko Lapansi ndi 10 m/s ².

Zodziwika:

Kutalika (h) = mamita 5

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Akufuna:

(a) Liwiro lomaliza (v _t )

(b) Nthawi yopuma (t)

Yankho:

Chiyerekezo cha kugwa kwaulere:

v _t = gt

h = ½ gt ²

v _t ² = 2 gh

(a) Liwiro lomaliza (v _t )

v _t ² = 2 gh = 2(10)(5) = 100

v _t = 10 m/s

(b) Nthawi yopuma (t)

h = ½ gt ²

5 = ½ (10) t ²

5 = 5 t ²

t ² = 5/5 = 1

t = sekondi imodzi

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3. Mpira wagwa kuchokera kutalika. Pezani (a) Kuthamanga (b) Mtunda pambuyo pa masekondi atatu (c) Nthawi mumlengalenga ngati liwiro lomaliza ndi 20 m/s. Kuthamanga chifukwa cha mphamvu yokoka = 10 m/s ²

Zodziwika :

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Akufuna:

(a) Kuthamanga (a)

(b) Mtunda kapena kutalika (h) ngati nthawi yapita (t) = masekondi atatu

(c) Nthawi yopuma (t) ngati v _t = 20 m/s

Yankho:

Chiyerekezo cha kugwa kwaulere:

v _t = gt

h = ½ gt ²

v _t ² = 2 gh

(a) Kuthamanga (a)

Kuthamanga = kuthamanga chifukwa cha mphamvu yokoka = 10 m/s ^2. Zimatanthauza kuwonjezeka kwa liwiro ndi 10 m/s pa sekondi.

(b) Mtunda kapena kutalika (h) pambuyo pa t = masekondi 3

h = ½ gt ² = ½ (10)(3) ² = (5)(9) = mamita 45

(c) Nthawi yatha (t) ngati v _t = 20 m/s

v _t = gt

20 = (10) t

t = 20 / 10 = masekondi awiri

[irp]

[wpdm_package id='511′]

[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri

Mavuto Othetsedwa mu Linear Motion - Kuthamanga Kokhazikika

1. Galimoto imathamanga kuchokera pamalo opumula kufika pa 20 m/s mu masekondi 10. Dziwani kuthamanga kwa galimotoyo!

Anakonza

Zodziwika:

Liwiro loyambirira (v _o ) = 0 (kupuma)

Nthawi yopuma (t) = masekondi 10

Liwiro lomaliza (v _t ) = 20 m/s

Kufunidwa : Kufulumizitsa (a)

Yankho:

v _t = vo ₊ pa

20 = 0 + (a)(10)

20 = 10 a

a = 20 / 10

a = 2 m/s ²

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2. Galimoto ikuthamanga pang'onopang'ono kuchoka pa 30 m/s kuti ipumule mu masekondi 10. Dziwani liwiro la galimotoyo.

Anakonza

Zodziwika:

Liwiro loyambirira (v _o ) = 30 m/s

Liwiro lomaliza (v _t ) = 0

Nthawi yopuma (t) = masekondi 10

Kufunidwa: kufulumizitsa (a)

Yankho:

v _t = vo ₊ pa

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30/10

a = -3 m/s ²

Chizindikiro chotsutsa chimawonekera chifukwa liwiro lomaliza ndi lochepera kuposa liwiro loyambirira.

[irp]

3. Galimoto imayamba ndi kuthamanga pa liwiro losasintha la 4 m/s ² mu sekondi imodzi. Dziwani liwiro ndi mtunda pambuyo pa masekondi 10.

Anakonza

(a) Liwiro

Kuthamanga kwa 4 m/s ² kumatanthauza kuwonjezeka kwa liwiro ndi 4 m/s sekondi imodzi iliyonse. Pambuyo pa masekondi awiri, liwiro la galimoto ndi 8 m/s. Pambuyo pa masekondi 10, liwiro la galimoto ndi 40 m/s.

(b) Mtunda

Zodziwika:

Liwiro loyambirira (v _o ) = 0

Liwiro lomaliza (v _t ) = 40 m/s

Kuthamanga (a) = 4 m/s ²

Kufunidwa: Kutali

Yankho:

s = vot ₊ ½ pa ² = 0 + ½ (4)(10 ² ) = (2)(100) = mamita 200

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4. Galimoto imayenda pa liwiro losasintha la 10 m/s, kenako imatsika pang'onopang'ono pa liwiro losasintha la 2 m/s ^{2 mpaka itapuma. Dziwani nthawi yomwe yadutsa komanso} mtunda wa galimoto musanapumule.

Zodziwika:

Liwiro loyambirira (v _o ) = 10 m/s

Kuthamanga (a) = -2 m/s ² (Chizindikiro chotsutsa chimawonekera chifukwa liwiro lomaliza ndi lochepera kuposa liwiro loyambirira)

Liwiro lomaliza (v _t ) = 0 (kupuma)

Kufunidwa: Nthawi ndi mtunda

Yankho:

(a) Nthawi yopuma (t)

v _t = vo ₊ pa

0 = 10 + (-2)(t)

0 = 10 - 2 t

10 = 2 t

t = 10 / 2 = masekondi awiri

(b) Mtunda

v _t ² = v _o ² + 2 monga

0 = 10 ² + 2(-2) s

0 = 100 – 4 masekondi

100 = masekondi 4

s = 100 / 4 = mamita 25

[irp]

5. Galimoto imayenda pa liwiro la 40 m/s, imatsika liwiro pa liwiro losasintha la 4 m/s ² mpaka itapuma. Dziwani liwiro ndi mtunda mukatha kutsika liwiro m'masekondi 10!

Anakonza

Zodziwika:

Liwiro loyambirira (v _o ) = 40 m/s

Kuthamanga (a) = -4 m/s ²

Nthawi yopuma (t) = masekondi 10

Kufunidwa: liwiro lomaliza (v _t ) ndi mtunda (s)

Yankho:

(a) Liwiro lomaliza

v _t = vo _o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s

0 m/s amatanthauza kupuma kwa galimoto.

(b) Mtunda

s = vot ₊ ½ pa ² = (40)(10) + ½ (-4)(10 ² ) = 400 + (-2)(100) = 400 – 200 = mamita 200

[irp]

6. Dziwani mtunda pambuyo pa masekondi 10!

Anakonza

Mtunda: s = vt = (10-0)(5-0) = (10)(5) = mamita 50

7. Dziwani mtunda pambuyo pa masekondi 4!

Anakonza

Mtunda = malo ozungulira + malo ozungulira atatu

Mtunda = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = mamita 96

8. Dziwani mtunda wa galimoto patatha masekondi anayi!

Anakonza

Mtunda = malo amakona atatu = ½ (4-0)(8-0) = ½ (4)(8) = mamita 16

9. Galimoto ikuyenda pa liwiro la 90 km/h kudutsa galimoto ya apolisi yomwe imayima m'mbali mwa msewu. Patapita mphindi imodzi, galimoto ya apolisi ikuyamba kuthamanga pa ^liwiro la 0.8 m/s . Kodi galimoto ya apolisi imafika patali bwanji ndi galimotoyo?

Zodziwika:

Liwiro la galimoto (v) = 90 km/ola = 90,000 metres / masekondi 3600 = 25 metres/sekondi

Nthawi yopuma (t) = mphindi imodzi = masekondi 60

Kuthamanga kwa galimoto ya apolisi (a) = 0.8 m/s ²

Liwiro loyamba la galimoto ya apolisi (v _o ) = 0 m/s

Akufuna: Mtunda woyenda ndi galimoto ya apolisi

Yankho:

Galimoto imayenda mofulumira kwambiri. Mtunda woyenda ndi galimoto:

Mtunda woyambira:

s = vt = (25)(60) = mamita 1500

Mtunda womaliza:

s = vt = (25)(t)

Mtunda wonse = 1500 + 25 t

Galimoto ya apolisi imayenda mofulumira kwambiri. Mtunda woyenda ndi galimoto ya apolisi:

s = vot ₊ ½ pa ² = (0)(t) + ½ (0.8)(t ² ) = 0 + 0.4 t ² = 0.4 t ²

Galimoto ya apolisi ikafika pagalimoto, mtunda womwe galimoto ya apolisi imayendera umakhala wofanana ndi mtunda womwe galimotoyo imayendera.

Mtunda woyenda ndi galimoto = mtunda woyenda ndi galimoto ya apolisi

1500 + 25 t = 0.4 t ²

0.4 t ² – 25 t – 1500 = 0

Gwiritsani ntchito njira ya quadratic:

Mtunda woyenda ndi galimoto ya apolisi:

s = 0.4 t ² = (0.4)(100 ² ) = (0.4)(10,000) = 4000 mamita s = 4 km

10. Galimoto imayenda ndi mabuleki a 24 m/s osasinthasintha kotero kuti imachepa ndi 0.952 m/s ^2. Dziwani liwiro la galimotoyo mutayenda mamita 250.

Zodziwika:

Liwiro loyambirira (v _o ) = 24 m/s

Kuthamanga (a) = – 0.952 m/s ² ( kulembedwa ndi negative chifukwa cha kuchepa kwa liwiro )

Mtunda ( d ) = mamita 250 s

Kufunidwa: Liwiro la galimoto pambuyo pa 250 metres s

Yankho:

Chodziwika: liwiro loyamba (v_o), kuthamanga (a), mtunda (d), kufunidwa: liwiro lomaliza (v_t) choncho gwiritsani ntchito equation ya v_t² =v_o² + 2 a d

v _t = liwiro lomaliza , v _o = liwiro loyambirira , a = kufulumizitsa , d = mtunda

v _t ² = (24) ² + (2)(-0.952)(250)

v _t ² = 576 – 476

v _t ² = 100

v _t = √100

v _t = 10 m/s

[irp]

[wpdm_package id='507′]

[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri

Mavuto Othetsedwa mu Kuyenda Kolunjika - Liwiro Lokhazikika

1. Galimoto imayenda pa liwiro losasintha la 10 m/s. Dziwani mtunda pambuyo pa masekondi 10 ndi masekondi 60.

Anakonza

Liwiro lokhazikika la mamita 10 pa sekondi limatanthauza kuti galimoto imayenda mamita 10 pa sekondi imodzi iliyonse.

Pambuyo pa masekondi awiri, galimotoyo inayenda mamita 20,

Pambuyo pa masekondi awiri, galimotoyo inayenda mamita 50,

Pambuyo pa masekondi 10, galimotoyo inayenda mamita 100 ,

Pambuyo pa masekondi 60, galimotoyo inayenda mamita 600.

[irp]

2. Galimoto imayenda mumsewu wowongoka pa liwiro losasintha la 72 km/h. Dziwani mtunda wa galimotoyo pakatha mphindi ziwiri ndi mphindi zisanu.

Anakonza

72 km/h = (72)(mamita 1000) / masekondi 3600 = masekondi 72,000 / masekondi 3600 = mamita 20/sekondi.

Liwiro lokhazikika la mamita 20 pa sekondi limatanthauza kuti galimotoyo imayenda mamita 20 pa sekondi imodzi iliyonse.

Pambuyo pa masekondi 120 kapena mphindi ziwiri, galimoto imayenda mamita 20 x 120 = mamita 2400 ,

Pambuyo pa masekondi 300 kapena mphindi 5, galimotoyo imayenda mamita 20 x 300 = mamita 6000.

[irp]

3. Thupi limayenda mumsewu wowongoka kwa mamita 100 mu masekondi 50. Dziwani liwiro la thupi.

Anakonza

Mamita 100 / masekondi 50 = mamita 10 / masekondi 5 = mamita 2/sekondi.

4. Dziwani liwiro motsatira chithunzi chomwe chili pansipa….

Anakonza

Liwiro = Mtunda / nthawi yatha

Liwiro = mamita awiri / sekondi imodzi = mamita anayi / masekondi awiri = mamita 6 / masekondi atatu = mamita 8 / masekondi anayi = mamita awiri pa sekondi.

5. Magalimoto A ndi B amayandikirana panjira zofanana. Pamene mtunda pakati pa magalimoto awiriwa uli mamita 100, galimoto A imayenda pa liwiro losasintha la 10 m/s, galimoto B imayenda pa liwiro losasintha la 40 m/s. Dziwani (a) mtunda wa galimoto A musanadutse galimoto B (b) nthawi yomwe galimoto B isanadutse galimoto A.

Anakonza

Galimoto A imayenda ndi liwiro losasintha pa 10 metres/sekondi, zomwe zikutanthauza kuti galimoto A imayenda mpaka mamita 10 sekondi iliyonse. Pambuyo pa masekondi awiri, galimoto A imayenda mpaka mamita 20.

Galimoto B imayenda ndi liwiro losasintha pa mamita 40 pa sekondi, kutanthauza kuti galimoto B imayenda mpaka mamita 40 pa sekondi imodzi iliyonse. Pambuyo pa masekondi awiri, galimoto B imayenda mpaka mamita 80.

Mamita 20 + mamita 80 = mamita 100.

(a) Mtunda wa galimoto A galimoto B isanadutse ndi mamita 20. Mtunda wa galimoto B galimoto A isanadutse ndi mamita 80.

(b) Nthawi yodutsa pakati pa galimoto B ndi masekondi awiri galimoto A isanadutse. Nthawi yodutsa pakati pa galimoto A ndi masekondi awiri galimoto B isanadutse.

5. Ngati speedometer ya galimoto ikuwonetsa 108 km/h, dziwani mtunda womwe galimotoyo yayenda mu mphindi imodzi.

Yankho:

Speedometer ndi chida choyezera liwiro. Liwiro la galimoto ndi 108 km/ola.
108 km / h = (108) (mamita 1000) / masekondi 3600 = mamita 30/sekondi.

Mphindi imodzi = masekondi 60

Liwiro la galimotoyo ndi mamita 30 pa sekondi imodzi. Liwiro lake ndi mamita 30 pa sekondi imodzi.

Pambuyo pa sekondi imodzi, galimotoyo imasuntha mpaka mamita 1 x 30 = mamita 30.

Pambuyo pa masekondi awiri, galimotoyo imasuntha mpaka mamita awiri ndi makumi atatu = mamita 60.

Pambuyo pa masekondi awiri, galimotoyo imasuntha mpaka mamita awiri ndi makumi atatu = mamita 1800.

6. Tom akuponya mpira molunjika kwa Andrew . Tom ndi Andrew asiyana mamita 10.08 . Mpirawo umaponyedwa mopingasa ndipo umayenda pa 20 m/ s (kunyalanyaza mphamvu yokoka). Andrew akumenya mpirawo masekondi 4.00 x 10 ^-3 mpirawo utaponyedwa. Ngati wogundayo akuyenda pa liwiro losasintha la 5.00 m/s, mpirawo umagundidwa ndi wogundayo wogundayo atasuntha mpaka…

Zodziwika:

Mtunda pakati pa Tom ndi Andrew = mamita 10.08

Liwiro la mpira (v) = 20 m/s

Nthawi yopuma (t) = 4 x 10 ^-3 masekondi = 0.004 masekondi

Liwiro la wogunda (v) = 5 m / s

SE basi: Mpirawo umagundidwa ndi wogunda mpirawo utapita kutali kwambiri…

Yankho:

Mtunda wa mpira:

s ₁ = vt = (20) (0.004) = 0.08 mamita

Mtunda wa wogunda:

s ₂ = vt = 5 t

Mtunda wa mpira + mtunda wa womenya mpira = mtunda pakati pa Tom ndi Andrew.

0.08 + 5 t = 10.08

5 t = 10.08 – 0.08

5 t = 10

t = 10/5

t = masekondi awiri

Mtunda wa wogunda:

s ₂ = vt = 5 t = (5) (2) = mamita 10

7. Msaki ndi galimoto yake akuthamangitsa nswala. Galimotoyo imayenda pa liwiro la 72 km/h ndipo nswalayo imathamanga pa liwiro la 64.8 km/h. Pamene mtunda pakati pa galimotoyo ndi nswala uli mamita 2012, msakiyo anawombera mfuti yake. Zipolopolo zinatuluka mu mfutiyo pa liwiro la 200 m/s. Dziwani nthawi yomwe nswalayo ikuwomberedwa.

A. 0.5 s

B. 1 s

C. 1.25 s

D. 1.5 s

Zodziwika:

Liwiro la galimoto (v _b ) = 72 km/h = (72)(1000 m) / 3600 s = 20 m/s

Liwiro la nswala (v _r ) = 64.8 km/h = (64.8)(1000 m) / 3600 s = 64800 m / 3600 s = 18 m/s

Chipolopolo chikawomberedwa, mtunda pakati pa galimoto ndi nswala = mamita 202

Liwiro la moto (v _p ) = 20 m/s + 200 m/s = 220 m/s

Zida zimagwiridwa ndi asodzi omwe ali m'galimoto yomwe imayenda ndi liwiro la 20 m/s kotero kuti liwiro la galimotoyo liwonjezedwenso ku liwiro la chipolopolo.

Kufunidwa: Dziwani nthawi yomwe nswala ikuwomberedwa

Yankho:

Taganizirani za magalimoto ndi nswala zomwe zikuyenda mofulumira.

Equation: v = s / t kapena s = vt

v = liwiro, s = mtunda, t = nthawi yopuma

Mtunda = 202 + X _r = 202 + v _r t = 202 + 18 t

Mtunda = Y _p = v _p t = 220 t

Mtunda woyenda ndi nswala = mtunda woyenda ndi chipolopolo

202 + 18 t = 220 t

202 = 220 t – 18 t

202 = 202 t

t = 202/202

t = sekondi imodzi

Yankho lolondola ndi B.

[irp]

[wpdm_package id='507′]

[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri

Mavuto Othetsedwa mu Kuyenda kwa Linear - Liwiro lapakati ndi liwiro lapakati

1. Galimoto imayenda mumsewu wowongoka kupita kum'mawa kwa mamita 100 mu masekondi 4, kenako imayenda kumadzulo kwa mamita 50 mu sekondi imodzi. Dziwani liwiro lapakati ndi liwiro lapakati.

Anakonza

Mtunda = mamita 100 + mamita 50 = mamita 150

Kusamuka = ​​mamita 100 - mamita 50 = mamita 50, kum'mawa.

Nthawi yatha = masekondi 4 + sekondi imodzi = masekondi 5.

Liwiro lapakati = Mtunda / nthawi yapita = mamita 150 / masekondi 5 = mamita 30/sekondi.

Liwiro lapakati = Kusamuka / nthawi yapita = mamita 50 / masekondi 5 = mamita 10/sekondi.

[irp]

2. Munthu amayenda mamita 4 kum'mawa mu sekondi imodzi, kenako amayenda mamita atatu kumpoto mu sekondi imodzi. Dziwani liwiro lapakati ndi liwiro lapakati.

Anakonza

Mtunda = mamita 4 + mamita 3 = mamita 7

Kusamutsidwa = = mamita, kumpoto chakum'mawa.

Nthawi yatha = sekondi imodzi + sekondi imodzi = masekondi awiri.

Liwiro lapakati = mtunda / nthawi yapita = mamita 7 / masekondi awiri = mamita 3.5/sekondi

Liwiro lapakati = kusuntha / nthawi yapita = mamita 5 / masekondi awiri = mamita 2.5/sekondi

[irp]

3. Wothamanga amayenda mozungulira njira ya rectangle kutalika = mamita 50 ndipo m'lifupi = mamita 20. Akayenda mozungulira njira ya rectangle kawiri, wothamanga amabwerera komwe anayambira. Ngati nthawi yapita = masekondi 100, dziwani liwiro lapakati ndi liwiro lapakati.

Anakonza

Mzere wozungulira wa rectangle = 2 (mamita 50) + 2 (mamita 20) = mamita 100 + mamita 40 = mamita 140.

Amayenda mozungulira bwalo lamakona anayi kawiri = 2 (mamita 140) = mamita 280.

Mtunda = mamita 280.

Kusamuka = ​​0 mamita . ( wothamanga kubwerera komwe amayambira)

Liwiro lapakati = mtunda / nthawi yapita = mamita 280 / masekondi 100 = mamita 2.8/sekondi.

Liwiro lapakati = kusamuka / nthawi yapita = 0 / masekondi 100 = 0.

[irp]

[wpdm_package id='505′]

[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri

Mavuto othetsedwa mu mavekitala - dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za vekitala

1. F ₁ = 6 N, F ₂ = 10 N. Dziwani vekitala yotsatira.

Anakonza

F _1x = F ₁ cos 60 ^o = (6)(0.5) = 3 N ( yabwino chifukwa ili ndi mbali yofanana ndi x axis )

F _2x = F ₂ cos 30 ^o = (10)(0.5 √ 3) = 5 √ 3 = (5)(1.372) = -8.66 N (yoipa chifukwa ili ndi mbali yofanana ndi -x axis)

F _1y = F ₁ sin 60 ^o = (6)(0.5 √ 3) = 3 √ 3 ​​​​= (3)(1.372) = 4.116 N ( yabwino chifukwa ili ndi njira yofanana ndi y axis )

F _2y = F ₂ sin 30 ^o = (10)(0.5 ) = -5 N (negative chifukwa ili ndi njira yofanana ndi -y axis)

F _x = F _1x – F _2x = 3 – 8.66 = -5.66 N

F _y = F _1y – F _2y = 4.116 – 5 = -0.884 N

 

Zotsatira za mphamvu ziwirizi ndi 5.7 N.

[irp]

2. F ₁ = 4 N, F ₂ = 4 N, F ₃ = 8 N. Dziwani vekitala yotsatira.

Anakonza

F_1x =F₁ 60^o = (4)(0.5) = 2 N (zabwino chifukwa zili ndi njira yofanana ndi x axis)

F _2x = -4 N (yoipa chifukwa ili ndi mbali yofanana ndi mzere wa -x)

F _3x = F ₃ cos 60 ^o = (8)(0.5) = 4 N ( yabwino chifukwa ili ndi mbali yofanana ndi x axis )

F_1y =F₁ tchimo 60^o = (4)(0.5√3) = 2√3 N (zabwino chifukwa zili ndi njira yofanana ndi y axis)

F _2y = 0

F_3y =F₃ tchimo 60^o = (8)(0.5√3) = -4√3 N (yoipa) chifukwa ili ndi njira yofanana ndi -y axis)

F _x = F _1x – F _2x + F _3x = 2 – 4 + 4 = 2 N

F_y =F_1y +F_2y - F_3y = 2√3 + 0 – 4√3 = -2√3 N

Zotsatira za mphamvu zitatuzi ndi 5.7 N.

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Dziwani zotsatira za mu vekitala ya mzere
2. Dziwani zigawo za vekitala
3. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito chiphunzitso cha Pythagorean
4. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito equation ya cosines
5. Dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za mavekitala

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Mavuto othetsedwa mu mavekitala - dziwani zotsatira za mavekitala awiri pogwiritsa ntchito equation ya cosines

1. F ₁ = 10 N ndi F ₂ = 20 N. Dziwani vekitala yotsatira.

[irp]

2. A ₁ = 15 ndi A ₂ = 9. Ngodya pakati pa mavekitala awiriwa ndi 60 ^o . Dziwani vekitala yotsatira.

Anakonza

[irp]

3. v ₁ = 5 ndi v ₂ = 12. Ngodya pakati pa mavekitala awiriwa ndi 90 ^o . Dziwani vekitala yotsatira.

Anakonza

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Dziwani zotsatira za mu vekitala ya mzere
2. Dziwani zigawo za vekitala
3. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito chiphunzitso cha Pythagorean
4. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito equation ya cosines
5. Dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za mavekitala

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Mavuto othetsedwa mu mavekitala - kudziwa zotsatira za mavekitala awiri pogwiritsa ntchito chiphunzitso cha Pythagorean

1. Dziwani zotsatira za ma vector awiri osuntha monga momwe zasonyezedwera pachithunzi chili pansipa.

[irp]

2. Pezani zotsatira za mphamvu ziwiri , 12 N ndi 5 N.

[irp]

3. Wophunzira amayenda mamita 4 kumadzulo, kenako mamita 6 kumpoto ndi mamita 4 kumadzulo. Pezani malo omwe wophunzirayo akusamukira.

Anakonza

Malo osamukira ali mamita 10 , kumpoto chakumadzulo.

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Dziwani zotsatira za mu vekitala ya mzere
2. Dziwani zigawo za vekitala
3. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito chiphunzitso cha Pythagorean
4. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito equation ya cosines
5. Dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za mavekitala

Werengani zambiri

Mavuto othetsedwa mu mavekitala - dziwani zigawo za mavekitala

1. Mphamvu ya 20 Newton imapanga ngodya ya 30 ^o ndi x-axis. Pezani zigawo zonse ziwiri za x ndi y za mphamvuyo.

Anakonza

F _x = F cos 30 ^o = (20)(cos 30 ^o ) = (20)(0.5 √ 3 ) = 10 √ 3 Ma Newton

F _y = F tchimo 30 ^o = (20)(tchimo 30 ^o ) = (20)(0.5) = Newtons 10

[irp]

2. F ₁ = 20 Newton amapanga ngodya ya 30 ^o ndi y axis ndipo F ₂ = 30 Newton amapanga ngodya ya 60 ^o ndi -x axis. Pezani zigawo zonse ziwiri za x ndi y za F ₁ ndi F ₂.

Anakonza

F _1x = F ₁ cos 60 ^o = (20)(cos 60 ^o ) = (20)(0.5) = -10 Newtons (negative chifukwa ili ndi njira yofanana ndi -x axis)

F _2x = F ₂ cos 60 ^o = (30)(cos 60 ^o ) = (30)(0.5) = -15 Newtons (negative chifukwa ili ndi njira yofanana ndi -x axis)

F_1y =F₁ tchimo 60^o = (20)(chimo 60^o) = (20)(0.5√3= = 10√3 Newton (yabwino chifukwa ili ndi mbali yofanana ndi y axis)

F_2y =F₂ tchimo 60^o = (30)(chimo 60^o) = (30)(0.5√3) = -15√3 Newton (yoipa chifukwa ili ndi njira yofanana ndi -y axis)

[irp]

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Pezani zigawo zonse ziwiri za x ndi y za F ₁ , F ₂ ndi F ₃!

Anakonza

F _1x = F ₁ cos 60 ^o = (2)(cos 60 ^o ) = (2)(0.5) = 1 Newtons (zabwino chifukwa zili ndi mbali imodzi ndi x axis)

F_2x =F₂ cos 30^o = (4)(cos 30^o) = (4)(0.5√3) = -2√3 Newton (yoipa chifukwa ili ndi njira yomweyo ndi mzere wa -x)

F _3x = F ₃ cos 60 ^o = (6)(cos 60 ^o ) = (6)(0.5) = 3 Newtons (zabwino chifukwa zili ndi mbali imodzi ndi x axis)

F_1y =F₁ tchimo 60^o = (2)(chimo 60^o) = (2)(0.5√3) = √3 Newton (yabwino chifukwa ili ndi mbali yofanana ndi y axis)

F _{2 y} = F ₂ sin 3 0 ^o = (4)(sin 30 ^o ) = (4)(0.5) = 2 Newtons (zabwino chifukwa zili ndi mbali yomweyo ndi y axis)

F_3y =F₃ tchimo 60^o = (6)(chimo 60^o) = (6)(0.5√3) = -3√3 Newton (yoipa chifukwa ili ndi njira yomweyo ndi -y axis)

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Dziwani zotsatira za mu vekitala ya mzere
2. Dziwani zigawo za vekitala
3. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito chiphunzitso cha Pythagorean
4. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito equation ya cosines
5. Dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za mavekitala

Werengani zambiri

Mavuto othetsedwa mu mavekitala - dziwani zotsatira za mu vekitala ya mzere

1. Wophunzira amayenda kumpoto mpaka mamita 10 kenako kum'mwera mpaka mamita 4. Kusamuka kwa wophunzirayo ndi…

Anakonza

R = 10 m – 4 m = 6 mamita

Kukula kwa kusuntha ndi mamita 6, komwe kusuntha kuli kumpoto.

2. F ₁ = 10 N, F ₂ = 15 N. Dziwani vekitala yotsatira…

Anakonza

R = 10 N + 15 N = 25 Newton

Kukula kwa vekitala yotuluka ndi 25 Newtons, komwe vekitala yotuluka ndi kum'mawa kapena kumanja.

[irp]

3. F ₁ = 4 N, F ₂ = 8 N. Dziwani vekitala yotsatira…

Anakonza

R = 8 N – 4 N = 4 Newton

Kukula kwa vekitala yotuluka ndi 4 Newtons, komwe vekitala yotuluka ndi kum'mawa kapena kumanja.

4. F ₁ = 10, F ₂ = 15 N, F ₃ = 5 N. Dziwani vekitala yotsatila…

Anakonza

R = 10 N + 5 N – 15 N = 0

Kukula kwa vekitala yotsatira ndi 0.

[irp]

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Dziwani zotsatira za mu vekitala ya mzere
2. Dziwani zigawo za vekitala
3. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito chiphunzitso cha Pythagorean
4. Dziwani zotsatira za ma vector awiri pogwiritsa ntchito equation ya cosines
5. Dziwani zotsatira za mavekitala awiri pogwiritsa ntchito zigawo za mavekitala

Werengani zambiri