Physics

Matambudziko Akagadziriswa Mukufamba Kwemutsetse - Zvinhu zvinodonha zvakasununguka

1. Chinhu chinodonha kubva pamusoro pegomo. Chinoonekwa chichirova pasi mushure memasekonzi matatu. Sarudza kumhanya kwacho usati warova pasi. Kukurumidza kwegiravhiti 10 m/s ² . Usakanganwa kudzivirira mvura.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 0 (chinhu chadonhedzwa)

Nguva yepakati (t) = masekondi matatu

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

Kukurumidza kunokonzerwa negiravhiti pamusoro penyika, kukura kwayo i9.8 m/s ^2. Kuti zvive nyore kuverenga, tinoshandisa 10 m/s ².

10 m/s ² kana 10 m/s / 1 sekondi, zvinoreva kuti kumhanya kunowedzera zvakananga munguva ne10 m/s mukati mesekondi yega yega.

Mushure mesekondi imwe, kumhanya kwechinhu = 10 m/s

Mushure memasekonzi maviri, kumhanya kwechinhu = 20 m/s

Mushure memasekonzi matatu, kumhanya kwechinhu = 30 m/s.

Tinogona zvakare kushandisa kinematic equations pakufamba nekukasira nguva dzose , sezvakaratidzwa pazasi.

v _t = vo ₊ pa

s = vot ₊ ½ pa ²

v _t ² = v _o ² + 2 se

Kudonha kwakasununguka hakuna kumhanya kwekutanga (v _o = 0), saka equation iri pamusoro inogona kuchinjwa sezvakaratidzwa pazasi:

Equation yekufamba kwemahara :

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

Kumhanya kwekupedzisira i30 m/s

2. Mutumbi unodonha zvakasununguka kubva pakuzorora, kubva pakukwirira kwemamita makumi maviri nemashanu. Tsvaga (a) Kumhanya kwaunorova pasi. (b) Nguva yaunotora kusvika pasi.

Kukurumidza kunokonzerwa negiravhiti pamusoro pePasi ndeye 10 m/s ².

Zvinozivikanwa:

Kureba (h) = mamita mashanu

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvaidiwa:

(a) Kumhanya kwekupedzisira (v _t )

(b) Nguva (t)

Solution:

Equation yemahara yekudonha:

v _t = gt

h = ½ gt ²

v _t ² = 2 gh

(a) Kumhanya kwekupedzisira (v _t )

v _t ² = 2 gh = 2(10)(5) = 100

v _t = 10 m/s

(b) Nguva (t)

h = ½ gt ²

5 = ½ (10) t ²

5 = 5 t ²

t ² = 5/5 = 1

t = sekondi imwe

3. Bhora rakadonha kubva pakakwirira. Tsvaga (a) Kukurumidza (b) Kureba mushure memasekonzi matatu (c) Nguva mumhepo kana kumhanya kwekupedzisira kuri 20 m/s. Kukurumidza kunokonzerwa negiravhiti = 10 m/s ²

Zvinozivikanwa :

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvaidiwa:

(a) Kukurumidzisa (a)

(b) Kureba kana kureba (h) kana nguva yapfuura (t) = masekondi matatu

(c) Nguva (t) kana v _t = 20 m/s

Solution:

Equation yemahara yekudonha:

v _t = gt

h = ½ gt ²

v _t ² = 2 gh

(a) Kukurumidzisa (a)

Kukurumidzisa = kukurumidza kunokonzerwa negiravhiti = 10 m/s ^2. Zvinoreva kuwedzera kumhanya ne10 m/s pasekondi.

(b) Kureba kana kureba (h) mushure me t = masekondi matatu

h = ½ gt ² = ½ (10)(3) ² = (5)(9) = mamita makumi mana nemashanu

(c) Nguva yakapera (t) kana v _t = 20 m/s

v _t = gt

20 = (10) t

t = 20 / 10 = masekondi maviri

[wpdm_package id='511′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

Read more

Matambudziko Akagadziriswa muKufamba Kwemutsetse - Kukurumidza Kushanda

1. Mota inomhanyisa mota kubva pakuzorora kusvika pa20 m/s mumasekonzi gumi. Tsvaga kuti mota yacho inomhanyisa mota zvakadii!

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 0 (kuzorora)

Nguva yepakati (t) = masekondi gumi nemashanu

Kumhanya kwekupedzisira (v _t ) = 20 m/s

Kudiwa : Kukurumidzisa (a)

Solution:

v _t = vo ₊ pa

20 = 0 + (a)(10)

20 = 10 a

a = 20 / 10

a = 2 m/s ²

2. Mota iri kudzikamisa kumhanya kubva pa30 m/s kuti izorore mumasekonzi gumi. Sarudza kuti mota iri kumhanyisa mota zvakadii.

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 30 m/s

Kumhanya kwekupedzisira (v _t ) = 0

Nguva yepakati (t) = masekondi gumi nemashanu

Zvinodiwa: kukurumidza (a)

Solution:

v _t = vo ₊ pa

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30/10

a = -3 m/s ²

Chiratidzo chekusaratidza chiratidzo chinoonekwa nekuti kumhanya kwekupedzisira kushoma pane kumhanya kwekutanga.

3. Mota inotanga uye inomhanyisa mota ne4 m/s ² musekondi imwe chete. Tsvaga kumhanya uye daro mushure memasekonzi gumi.

mhinduro

(a) Kumhanya

Kumhanyisa 4 m/s ² zvinoreva kuwedzera kumhanya 4 m/s pasekondi imwe chete. Mushure memasekonzi maviri, kumhanya kwemotokari kunosvika 8 m/s. Mushure memasekonzi gumi, kumhanya kwemotokari kunosvika 40 m/s.

(b) Kureba

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 0

Kumhanya kwekupedzisira (v _t ) = 40 m/s

Kukurumidzisa (a) = 4 m/s ²

Zvinodiwa: Kure

Solution:

s = _vot + ½ pa ² = 0 + ½ (4)(10 ² ) = (2)(100) = 200 metres

4. Mota inofamba ne10 m/s isingachinji, yozodzika ne2 m/s isingachinji ^{kusvika yazorora. Sarudza nguva yapera uye} daro remota usati wazorora.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza (a) = -2 m/s ² (Chiratidzo chekusaratidza chinoonekwa nekuti kumhanya kwekupedzisira kushoma pane kumhanya kwekutanga)

Kumhanya kwekupedzisira (v _t ) = 0 (kuzorora)

Zvinodiwa: Nguva uye daro

Solution:

(a) Nguva (t)

v _t = vo ₊ pa

0 = 10 + (-2)(t)

0 = 10 – 2 t

10 = 2 t

t = 10 / 2 = masekondi maviri

(b) Kureba

v _t ² = v _o ² + 2 se

0 = 10 ² + 2(-2) s

0 = 100 – 4 masekondi

100 = masekondi mana

s = 100 / 4 = mamita makumi maviri nemashanu

5. Mota inofamba ne40 m/s, inodzika daro rakaenzana ne4 m/s ² kusvika yazorora. Tsvaga kumhanya uye daro mushure mekudzika daro mumasekonzi gumi!

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 40 m/s

Kukurumidzisa (a) = -4 m/s ²

Nguva yepakati (t) = masekondi gumi nemashanu

Zvinodiwa: kumhanya kwekupedzisira (v _t ) uye daro (s)

Solution:

(a) Kumhanya kwekupedzisira

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

0 m/s zvinoreva kuzorora mumota.

(b) Kureba

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

6. Sarudza daro mushure memasekonzi gumi!

mhinduro

Kureba: s = vt = (10-0)(5-0) = (10)(5) = mamita makumi mashanu

7. Sarudza daro mushure memasekonzi gumi!

mhinduro

Kureba = nzvimbo yemativi mana + nzvimbo yemativi matatu

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

8. Tsvaga daro remotokari mushure memasekonzi mana!

mhinduro

Kureba = nzvimbo ine mativi matatu = ½ (4-0)(8-0) = ½ (4)(8) = mamita gumi nematanhatu

9. Mota inofamba ne90 km/h ichipfuura mota yemapurisa inomira padivi pemugwagwa. Kwapera miniti imwe, mota yemapurisa inodzingirirana ne0.8 m/s . ^2. Mota yemapurisa inosvika papi mota iyi?

Zvinozivikanwa:

Kumhanya kwemota (v) = 90 km/awa = 90,000 metres / 3600 seconds = 25 metres/sekondi

Nguva (t) = miniti imwe = masekondi makumi matanhatu

Kukurumidza kwemotokari yemapurisa (a) = 0.8 m/s ²

Kumhanya kwekutanga kwemotokari yemapurisa (vo ₎ = 0 m/s

Kudiwa: Kufamba kure nemotokari yemapurisa

Solution:

Mota inofamba nekumhanya kwakafanana. Kureba kwekufamba nemota:

Daro rekutanga:

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

Daro rekupedzisira:

s = vt = (25)(t)

Nhambwe yese = 1500 + 25 t

Mota yemapurisa inofamba ichimhanya nguva dzose. Kufamba kure nemota yemapurisa:

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

Kana mota yemapurisa yasvika pamotokari, daro rinofambwa nemotokari yemapurisa rakafanana nedaro rinofambwa nemotokari.

Kufamba nemota = daro rakafambwa nemota yemapurisa

1500 + 25 t = 0.4 t ²

0.4 t ² – 25 t – 1500 = 0

Shandisa fomura yequadratic:

Kufamba kure nemotokari yemapurisa:

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

10. Mota inofamba nemabhureki e24 m/s asingachinji zvekuti ine kudzikira kwe 0.952 m /s ^2. Sarudza kumhanya kwemota mushure medaro re 250 metres.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 24 m/s

Kukurumidza (a) = – 0.952 m/s ² ( negative signed because deceleration )

Kureba ( d ) = mamita mazana maviri nemakumi mashanu s

Zvinodiwa: Kumhanya kwemotokari mushure memamita mazana maviri nemakumi mashanu

Solution:

Inozivikanwa: kumhanya kwekutanga (v_o), kukurumidza (a), mufambo (d), zvaidiwa: kumhanya kwekupedzisira (v_t) saka shandisa equation ye v_t² =v_o² + 2 kuti d

v _t = kumhanya kwekupedzisira , v _o = kumhanya kwekutanga , a = kukurumidza , d = daro

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

[wpdm_package id='507′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

Read more

Matambudziko Akagadziriswa Mukufamba Kwemutsetse - Kumhanya Kunogara Kuchienderera

1. Mota inofamba ne10 m/s isingachinji. Tsvaga daro mushure memasekonzi gumi nemasekonzi makumi matanhatu.

mhinduro

Kumhanya kwakasimba kwemamita gumi pasekondi zvinoreva kuti mota inofamba mamita gumi pasekondi imwe chete yega yega.

Mushure memasekonzi maviri, mota inofamba mamita makumi maviri,

Mushure memasekonzi maviri, mota inofamba mamita makumi maviri,

Mushure memasekonzi gumi, mota inofamba mamita zana ,

Mushure memasekonzi makumi matanhatu, mota inofamba mamita mazana matanhatu.

2. Mota inofamba mumugwagwa wakatwasuka ichimhanya 72 km/awa. Sarudza daro remota mushure memaminitsi maviri nemaminitsi mashanu.

mhinduro

72 km/awa = (72)(mamita chiuru) / 3600 masekondi = 72,000 / 3600 masekondi = 20 mamita/sekondi.

Kumhanya kwakasimba kwemamita makumi maviri pasekondi zvinoreva kuti mota inofamba mamita makumi maviri pasekondi imwe chete.

Mushure memasekonzi zana nemakumi maviri kana maminitsi maviri, mota inofamba 20 metres x 120 = 2400 metres ,

Mushure memasekonzi mazana matatu kana maminitsi mashanu, mota inofamba mamita makumi maviri x 300 = mamita zviuru zvitanhatu.

3. Muviri unofamba mumugwagwa wakatwasuka kwemamita zana mumasekondi makumi mashanu. Sarudza kumhanya kwemuviri.

mhinduro

Mamita zana / masekondi makumi mashanu = mamita gumi / masekondi mashanu = mamita maviri pasekondi.

4. Sarudza kumhanya zvichienderana nedhayagiramu iri pazasi….

mhinduro

Kumhanya = Kureba / nguva yapfuura

Kumhanya = mamita maviri / sekondi imwe = mamita mana / masekonzi maviri = mamita matanhatu / masekonzi matatu = mamita masere / masekonzi mana = mamita maviri pasekondi.

5. Mota A neB dzinosangana munzira dzakafanana. Kana daro riri pakati pemota mbiri iri 100 metres, mota A inofamba nekumhanya kwakafanana kwe10 m/s, mota B inofamba nekumhanya kwakafanana kwe40 m/s. Sarudza (a) daro remota A usati wapfuura mota B (b) nguva isati yasvika mota B isati yapfuura mota A.

mhinduro

Mota A inofamba nekumhanya kwakasimba kwemamita gumi pasekondi, zvichireva kuti mota A inofamba kusvika pamamita gumi pasekondi imwe chete. Mushure memasekonzi maviri, mota inofamba kusvika pamamita makumi maviri.

Mota B inofamba nekumhanya kwakasimba kwemamita makumi mana pasekondi, zvichireva kuti mota B inofamba kusvika pamamita makumi mana pasekondi imwe chete. Mushure memasekonzi maviri, mota B inofamba kusvika pamamita makumi masere.

Mamita makumi maviri + mamita makumi masere = mamita zana.

(a) Kureba kwemota A isati yapfuura B ndeyemamita makumi maviri. Kureba kwemota B isati yapfuura A ndeyemamita makumi masere.

(b) Nguva yenguva yemotokari B isati yapfuura mota A masekondi maviri. Nguva yenguva yemotokari A isati yapfuura mota B masekondi maviri

5. Kana speedometer yemotokari ichiratidza 108 km/awa, sarudza daro rakafambwa nemotokari muminiti imwe chete.

Solution:

Chinoyera kumhanya kwemotokari. Kumhanya kwemotokari i108 km/awa.
108 km / h = (108) (mamita 1000) / 3600 masekondi = 30 mamita/sekondi.

Miniti imwe = masekondi makumi matanhatu

Kumhanya kwemota kwemamita makumi matatu pasekondi zvinoreva kuti mota inofamba kusvika pamamita makumi matatu pasekondi imwe chete.

Mushure mesekondi imwe chete, mota inofambira kure kusvika pamamita 1 x 30 = mamita 30.

Mushure memasekonzi maviri, mota inofambira kure kusvika pamamita maviri x makumi matatu = mamita makumi matanhatu.

Mushure memasekonzi maviri, mota inofambira kure kusvika pamamita maviri x makumi matatu = mamita makumi matanhatu.

6. Tom anokanda bhora zvakananga kuna Andrew . Tom naAndrew vakaparadzana kusvika pa 10.08 metres . Bhora rinokandwa rakatarisa uye rinofamba pa 20 m/ s (kusateerera simba regiravhiti). Andrew anorova bhora 4.00 x 10 ^-3 seconds mushure mekunge bhora rakandwa. Kana bhora richifamba nekumhanya kwakafanana kwe 5.00 m/s, bhora rinorohwa ne bhora mushure mekunge bhora rafamba kusvika...

Zvinozivikanwa:

Daro riri pakati paTom naAndrew = mamita gumi nesere (10.08 metres)

Kumhanya kwebhora (v) = 20 m/s

Nguva yenguva (t) = 4 x 10 ^-3 masekondi = 0.004 masekondi

Kumhanya kwemurovi (v) = 5 m / s

Kuda: Bhora rinorohwa neanorova mushure mekunge bhora rafamba kusvika…

Solution:

Kureba kwebhora:

s ₁ = vt = (20) (0.004) = 0.08 mamita

Kureba kwemurovi:

s ₂ = vt = 5 t

Kureba kwebhora + kureba kwemurovi = kureba pakati paTom naAndrew.

0.08 + 5 t = 10.08

5 t = 10.08 – 0.08

5 t = 10

t = 10 / 5

t = masekondi maviri

Kureba kwemurovi:

s ₂ = vt = 5 t = (5) (2) = mamita gumi

7. Muvhimi nemotokari yake ari kudzingirira mhembwe. Mota yacho inofamba ne72 km/h uye mhembwe inomhanya nekumhanya kwe64.8 km/h. Kana daro riri pakati pemotokari nemhembwe riri 2012 metres, muvhimi akapfura pfuti yake. Mabara anobuda mupfuti pa200 m/s. Sarudza nguva iyo mhembwe iri kupfurwa.

A. 0.5 s

B. 1 s

C. 1.25 s

D. 1.5 s

Zvinozivikanwa:

Kumhanya kwemota (v _b ) = 72 km/h = (72)(1000 m) / 3600 s = 20 m/s

Kumhanya kwemhembwe (v _r ) = 64.8 km/h = (64.8)(1000 m) / 3600 s = 64800 m / 3600 s = 18 m/s

Kana bara rapfurwa, daro riri pakati pemotokari nemhembwe = mamita mazana maviri nemaviri

Kumhanya kwemoto (v _p ) = 20 m/s + 200 m/s = 220 m/s

Zvombo zvinobatwa nevavhimi vari mumotokari inofamba nekumhanya kwe20 m/s kuitira kuti kumhanya kwemotokari kuwedzerewo pakumhanya kwebara.

Zvinodiwa: Sarudza nguva iyo mhara iri kupfurwa

Solution:

Funga nezvemota nemhara zvichifamba nekumhanya kwakasimba.

Equation: v = s / t kana s = vt

v = kumhanya, s = daro, t = nguva pakati

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

Kureba = Y _p = v _p t = 220 t

Kureba kwakafambwa nemhembwe = kureba kwakafambwa nebara

202 + 18 t = 220 t

202 = 220 t – 18 t

202 = 202 t

t = 202 / 202

t = sekondi imwe

Mhinduro chaiyo ndeiyi B.

[wpdm_package id='507′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

Read more

Matambudziko Akagadziriswa Mukufamba Kwemutsetse - Avhareji yekumhanya uye avhareji yekumhanya

1. Mota inofamba mumugwagwa wakatwasuka ichienda kumabvazuva kwemamita zana mumasekonzi mana, yobva yaenda kumadokero kwemamita makumi mashanu musekondi imwe. Sarudza avhareji yekumhanya uye avhareji yekumhanya.

mhinduro

Kureba = mamita zana + mamita makumi mashanu = mamita zana nemakumi mashanu

Kutamiswa = mamita zana - mamita makumi mashanu = mamita makumi mashanu, kumabvazuva.

Nguva yakapera = masekondi mana + sekondi imwe = masekondi mashanu.

Avhareji yekumhanya = Kureba / nguva yakapfuura = mamita zana nemakumi mashanu / masekonzi mashanu = mamita makumi matatu pasekondi.

Avhareji yekumhanya = Kutama / nguva yakapfuura = mamita makumi mashanu / masekonzi mashanu = mamita gumi pasekondi.

2. Munhu anofamba mamita mana kumabvazuva musekondi imwe chete, ozofamba mamita matatu kuchamhembe musekondi imwe chete. Sarudza avhareji yekumhanya uye avhareji yekumhanya.

mhinduro

Kureba = mamita zana + mamita makumi mashanu = mamita zana nemakumi mashanu

Kudzingwa = = mamita, kuchamhembe kwakadziva kumabvazuva.

Nguva yakapera = sekondi imwe + sekondi imwe = masekonzi maviri.

Avhareji yekumhanya = daro / nguva yakapfuura = mamita manomwe / masekonzi maviri = mamita matatu nehafu/sekondi

Avhareji yekumhanya = kufamba / nguva yakapfuura = mamita mashanu / masekonzi maviri = mamita maviri nehafu/sekondi

3. Mumhanyi anofamba achitenderera nzira yerectangle ine urefu = mamita makumi mashanu uye upamhi = mamita makumi maviri. Mushure mekufamba achitenderera nzira yerectangle kaviri, mumhanyi anodzokera panzvimbo yekutanga. Kana nguva ikapfuura = masekondi zana, sarudza avhareji yekumhanya uye avhareji yekumhanya.

mhinduro

Kutenderera kwerectangle = 2 (mamita makumi mashanu) + 2 (mamita makumi maviri) = mamita zana + mamita makumi mana = mamita zana nemakumi mana.

Inofamba ichitenderedza rectangle kaviri = 2 (mamita 140) = mamita 280.

Kureba = mamita mazana maviri nemakumi masere.

Kutamiswa = 0 mamita . ( mumhanyi anodzokera panotangira)

Avhareji yekumhanya = daro / nguva yakapfuura = mamita 280 / masekondi 100 = mamita 2.8 pasekondi.

Avhareji yekumhanya = kufamba / nguva yakapfuura = 0 / 100 masekondi = 0.

[wpdm_package id='505′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

Read more

Matambudziko akagadziriswa mumavector - tsvaga mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

1. F ₁ = 6 N, F ₂ = 10 N. Tsvaga vhekitari inobuda.

mhinduro

F _1x = F ₁ cos 60 ^o = (6)(0.5) = 3 N ( yakanaka nekuti ine gwara rakafanana ne x axis )

F _2x = F ₂ cos 30 ^o = (10)(0.5 √ 3) = 5 √ 3 = (5)(1.372) = -8.66 N (negative nekuti ine gwara rakafanana ne -x axis)

F _1y = F ₁ sin 60 ^o = (6)(0.5 √ 3) = 3 √ 3 ​​​​= (3)(1.372) = 4.116 N ( yakanaka nekuti ine gwara rakafanana ney axis )

F _2y = F ₂ sin 30 ^o = (10)(0.5 ) = -5 N (negative nekuti ine gwara rakafanana ne -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

 

Mhedzisiro yemasimba maviri aya i5.7 N.

2. F ₁ = 4 N, F ₂ = 4 N, F ₃ = 8 N. Tsvaga vhekitari inobuda.

mhinduro

F_1x =F₁ kusvika 60^o = (4)(0.5) = 2 N (yakanaka nekuti ine gwara rakafanana ne x axis)

F _2x = -4 N (negative nekuti ine gwara rakafanana ne -x axis)

F _3x = F ₃ cos 60 ^o = (8)(0.5) = 4 N ( yakanaka nekuti ine gwara rakafanana ne x axis )

F_1y =F₁ pasina 60^o = (4)(0.5√3) = 2√3 N (yakanaka nekuti ine gwara rakafanana ney axis)

F _2y = 0

F_3y =F₃ pasina 60^o = (8)(0.5√3) = -4√3 N (isina kunaka) nekuti ine gwara rakafanana ne -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

Mhedzisiro yemasimba matatu aya i5.7 N.

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Sarudza mhedzisiro ye mune vhekitari yemutsara
2. Sarudza zvikamu zvevector
3. Tsvaga mhedzisiro yemavector maviri uchishandisa dzidziso yePythagorean
4. Sarudza mhedzisiro yemavector maviri uchishandisa cosines equation
5. Sarudza mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

Read more

Matambudziko akagadziriswa mumavectors - tsvaga mhedzisiro yemavectors maviri uchishandisa cosines equation

1. F ₁ = 10 N uye F ₂ = 20 N. Tsvaga vhekitari inobuda.

2. A ₁ = 15 uye A ₂ = 9. Kona iri pakati pemavector maviri i60 ^o . Sarudza vhector inobuda.

mhinduro

3. v ₁ = 5 uye v ₂ = 12. Kona iri pakati pemavector maviri i90 ^o . Sarudza vhector inobuda.

mhinduro

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Sarudza mhedzisiro ye mune vhekitari yemutsara
2. Sarudza zvikamu zvevector
3. Tsvaga mhedzisiro yemavector maviri uchishandisa dzidziso yePythagorean
4. Sarudza mhedzisiro yemavector maviri uchishandisa cosines equation
5. Sarudza mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

Read more

Matambudziko akagadziriswa mumavectors - tsvaga mhedzisiro yemavectors maviri uchishandisa dzidziso yePythagorean

1. Sarudza mhedzisiro ye mavector maviri ekutama sezvakaratidzwa mumufananidzo uri pazasi.

2. Tsvaga mhedzisiro yemasimba maviri , 12 N uye 5 N.

3. Mudzidzi anofamba mamita mana kumadokero, wozofamba mamita matanhatu kuchamhembe uye mamita mana kumadokero. Tsvaga nzvimbo yaanogara mudzidzi.

mhinduro

Nzvimbo yekutamiswa iri mamita gumi , kuchamhembe kwakadziva kumadokero.

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Sarudza mhedzisiro ye mune vhekitari yemutsara
2. Sarudza zvikamu zvevector
3. Tsvaga mhedzisiro yemavector maviri uchishandisa dzidziso yePythagorean
4. Sarudza mhedzisiro yemavector maviri uchishandisa cosines equation
5. Sarudza mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

Read more

Matambudziko akagadziriswa mumavectors - sarudza zvikamu zvevector

1. Simba re20 Newton rinoita kona ye30 ^o ne x-axis. Tsvaga zvikamu zve x ne y zve simba.

mhinduro

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

F _y = F chivi 30 ^o = (20)(chivi 30 ^o ) = (20)(0.5) = Matoni gumi

2. F ₁ = 20 Newton anoita kona ye30 ^o ne y axis uye F ₂ = 30 Newton anoita kona ye60 ^o ne -x axis. Tsvaga zvikamu zve x ne y zve F ₁ ne F ₂.

mhinduro

F _1x = F ₁ cos 60 ^o = (20)(cos 60 ^o ) = (20)(0.5) = -10 Newtons (negative nekuti ine gwara rakafanana ne -x axis)

F _2x = F ₂ cos 60 ^o = (30)(cos 60 ^o ) = (30)(0.5) = -15 Newtons (negative nekuti ine gwara rakafanana ne -x axis)

F_1y =F₁ chivi 60^o = (20)(chivi 60^o) = (20)(0.5√3= = 10√3 Newton (yakanaka nekuti ine gwara rakafanana ney axis)

F_2y =F₂ chivi 60^o = (30)(chivi 60^o) = (30)(0.5√3) = -15√3 Newton (negative nekuti ine gwara rakafanana ne -y axis)

3. F ₁ = 2 N, F ₂ = 4 N, F ₃ = 6 N. Tsvaga zvikamu zve x na y zve F ₁ , F ₂ na F ₃!

mhinduro

F _1x = F ₁ cos 60 ^o = (2)(cos 60 ^o ) = (2)(0.5) = 1 Newtons (yakanaka nekuti ine gwara rakafanana ne x axis)

F_2x =F₂ cos 30^o = (4)(cos 30^o) = (4)(0.5√3) = -2√3 Newton (negative nekuti ine gwara rakafanana ne -x axis)

F _3x = F ₃ cos 60 ^o = (6)(cos 60 ^o ) = (6)(0.5) = 3 Newtons (yakanaka nekuti ine gwara rakafanana ne x axis)

F_1y =F₁ chivi 60^o = (2)(chivi 60^o) = (2)(0.5√3) = √3 Newton (yakanaka nekuti ine gwara rakafanana ney axis)

F _{2 y} = F ₂ sin 3 0 ^o = (4)(sin 30 ^o ) = (4)(0.5) = 2 Newtons (yakanaka nekuti ine gwara rakafanana ney axis)

F_3y =F₃ chivi 60^o = (6)(chivi 60^o) = (6)(0.5√3) = -3√3 Newton (negative nekuti ine gwara rakafanana ne -y axis)

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Sarudza mhedzisiro ye mune vhekitari yemutsara
2. Sarudza zvikamu zvevector
3. Tsvaga mhedzisiro yemavector maviri uchishandisa dzidziso yePythagorean
4. Sarudza mhedzisiro yemavector maviri uchishandisa cosines equation
5. Sarudza mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

Read more

Matambudziko akagadziriswa mumavector - sarudza mhedzisiro yemuvector wemutsara

1. Mudzidzi anofamba kuchamhembe kusvika pamamita gumi uye ozoenda kumaodzanyemba kusvika pamamita mana. Kutamiswa kwemudzidzi kuri…

mhinduro

R = 10 m – 4 m = 6 mamita

Hukuru hwekutama mamita matanhatu, divi rekutama riri kuchamhembe.

2. F ₁ = 10 N, F ₂ = 15 N. Tsvaga vhekitari inobuda…

mhinduro

R = 10 N + 15 N = 25 Newton

Hukuru hwevector inobuda i25 Newtons, divi revector inobuda riri kumabvazuva kana kurudyi.

3. F ₁ = 4 N, F ₂ = 8 N. Tsvaga vhekitari inobuda…

mhinduro

R = 8 N – 4 N = 4 Newton

Hukuru hwevector inobuda i4 Newtons, divi revector inobuda riri kumabvazuva kana kurudyi.

4. F ₁ = 10, F ₂ = 15 N, F ₃ = 5 N. Tsvaga vhekitari inobuda…

mhinduro

R = 10 N + 5 N – 15 N = 0

Hukuru hwevector inobuda i0.

[wpdm_package id='542′]

[wpdm_package id='554′]

1. Sarudza mhedzisiro ye mune vhekitari yemutsara
2. Sarudza zvikamu zvevector
3. Tsvaga mhedzisiro yemavector maviri uchishandisa dzidziso yePythagorean
4. Sarudza mhedzisiro yemavector maviri uchishandisa cosines equation
5. Sarudza mhedzisiro yemavector maviri uchishandisa zvikamu zvevector

Read more