Muenzaniso wenguva yesimba

Mienzaniso gumi yeMibvunzo yeNguva yeSimba

1. Kureba kwetsvimbo AB mamita maviri uye hukuru hwesimba F i10 Newtons. Tsvaga nguva yemaitiro akananga kuA uye kwaitenderera tsvimbo AB!
Muenzaniso wenguva yesimba 1Kukurukurirana
Nzvimbo yekutenderera iri panzvimbo A.

Zvinozivikanwa kuti:
Simba (F) = 10 Newtons
Kureba AB (r)AB) = 2 mamita
Simba F rinoumba kona ye90o kurwisa tsvimbo AB.
Ruoko rwesimba (l) = rAB pasina 90o = (2 mamita)(1) = 2 mamita
Akabvunzwa: Nguva yekusimba pamusoro penzvimbo A uye kwaitenderera tsvimbo AB

Mhinduro:
Nguva yesimba:
τ = F l = (10 N)(2 m) = 20 mamita eNewton
Nguva yesimba yakanaka nekuti simba F rinoita kuti tsvimbo yeAB itenderere ichipesana newachi.

2. Kureba kwetsvimbo AB mamita maviri uye hukuru hwesimba F i10 Newtons. Sarudza nguva yesimba pamusoro penzvimbo A uye divi rekutenderera kwetsvimbo AB!

Kukurukurirana
Chikamu chekutenderera ndichoMuenzaniso wenguva yesimba 2iri panzvimbo A.

Zvinozivikanwa kuti:
Simba (F) = 10 Newtons
Kureba AB (r)AB) = 2 mamita
Simba F rinoumba kona ye60o kurwisa tsvimbo AB.
Ruoko rwesimba (l) = rAB pasina 60o = (2 metres)(0,5√3) = √3 metres
Akabvunzwa: Torsi kunongedzo A uye gwara rekutenderera kwetsvimbo AB

Mhinduro:
Nguva yesimba:
τ = F l = (10 N)(√3 m) = 10√3 mamita eNewton
Nguva yesimba yakanaka nekuti simba F rinoita kuti tsvimbo yeAB itenderere ichipesana newachi.

3. Kureba kwetsvimbo AB mamita maviri, hukuru hwesimba F1 maNewton gumi uye hukuru hwesimba F2 maNewton gumi nemashanu. Sarudza nguva yesimba inobuda pakati petsvimbo uye divi rekutenderera kwetsvimbo AB!

Kukurukurirana
Muenzaniso wenguva yesimba 4Nzvimbo yekutenderera iri pakati petsvimbo.
Zvinozivikanwa kuti:
Chimiro 1 (F)1) = 10 Newton
Kureba F1 uye pakati pehunde (r1) = 1 mamita
Chimiro F1 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 1 (l)1) = r1 pasina 90o = (1 mamita)(1) = 1 mamita

Chimiro 2 (F)2) = 15 Newton
Kureba F2 uye pakati pehunde (r2) = 1 mamita
Chimiro F2 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 2 (l)2) = r2 pasina 90o = (1 mamita)(1) = 1 mamita
Akabvunzwa: Simba rinobuda pakati petsvimbo uye divi rekutenderera kwetsvimbo AB
Mhinduro:
Nguva yesimba 1:
τ1 =F1 l1 = (10 N)(1 m) = 10 mamita eNewton
Nguva yesimba yakanaka nekuti simba F rinoita kuti tsvimbo itenderere ichipesana newachi.

Nguva yesimba 2:
τ2 =F2 l2 = (15 N)(1 m) = -15 mamita eNewton
Nguva yesimba haina kunaka nekuti simba F2 zvichiita kuti tsvimbo itenderere newachi.

Nguva yesimba inobuda:
Στ = τ1 – τ2 = 10 – 15 = – 5 mamita eNewton
Nguva yesimba inobuda haina kunaka nekuti simba rinobuda F rinoita kuti tsvimbo yeAB itenderere newachi.

4. Kureba kwetsvimbo AB mamita maviri, hukuru hwesimba F ndi1 ndiyo 10 Newton uye hukuru hwesimba F2 ndi10 Newton. Sarudza nguva yesimba inobuda pakati petsvimbo uye divi rekutenderera kwetsvimbo AB!
Muenzaniso wenguva yesimba 6Kukurukurirana
Nzvimbo yekutenderera iri pakati petsvimbo.
Zvinozivikanwa kuti:
Chimiro 1 (F)1) = 10 Newton
Kureba F1 uye pakati pehunde (r1) = 1 mamita
Chimiro F1 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 1 (l)1) = r1 pasina 60o = (mamita mashanu)(0,5√3) = 0,5√3 mamita

Chimiro 2 (F)2) = 10 Newton
Kureba F2 uye pakati pehunde (r2) = 1 mamita
Chimiro F2 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 2 (l)2) = r2 pasina 90o = (1 mamita)(1) = 1 mamita
Akabvunzwa: Simba rinobuda pakati petsvimbo uye divi rekutenderera kwetsvimbo AB
Mhinduro:
Nguva yesimba 1:
τ1 =F1 l1 = (10 N)(0,5√3 m) = 5√3 = 8,7 mamita eNewton
Nguva yesimba yakanaka nekuti simba F1 rinoita kuti tsvimbo itenderere ichipesana newachi.

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Nguva yesimba 2:
τ2 =F2 l2 = (10 N)(1 m) = -10 mamita eNewton
Nguva yesimba haina kunaka nekuti simba F2 zvichiita kuti tsvimbo itenderere newachi.

Nguva yesimba inobuda:
Στ = τ1 – τ2 = 8,7 – 10 = – 1,3 mamita eNewton
Nguva yesimba inobuda haina kunaka nekuti simba rinobuda F rinoita kuti tsvimbo yeAB itenderere newachi.

5. Kureba kwetsvimbo AB mamita maviri, hukuru hwesimba F ndi1 ndi10 Newton, hukuru hwesimba F2 ndiyo 10 Newton uye hukuru hwesimba F3 ine maNewton gumi nemashanu. Daro riri pakati pepoindi A nepoindi C i7,5 metres. Force F2 iri pakati petsvimbo AB. Sarudza nguva yesimba inobuda panzvimbo C iri 2,5 metres kubva panzvimbo B! Uyewo sarudza nzira yekutenderera kwetsvimbo AB.
Muenzaniso wenguva yesimba 8Kukurukurirana
Nzvimbo yekutenderera iri panzvimbo C iri 2,5 metres kubva panzvimbo B.
Zvinozivikanwa kuti:
Chimiro 1 (F)1) = 10 Newton
Kureba F1 uye poindi C (r)1) = 2,5 mamita
Chimiro F1 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 1 (l)1) = r1 pasina 90o = (2,5 mamita)(1) = 2,5 mamita

Chimiro 2 (F)2) = 10 Newton
Kureba F2 uye poindi C (r)2) = 2,5 mamita
Chimiro F2 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 2 (l)2) = r2 pasina 90o = (2,5 mamita)(1) = 2,5 mamita

Chimiro 3 (F)3) = 15 Newton
Kureba F3 uye poindi C (r)3) = 7,5 mamita
Chimiro F3 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 3 (l)3) = r3 pasina 90o = (7,5 mamita)(1) = 7,5 mamita
Akabvunzwa: Nguva yesimba rinobuda pamusoro penzvimbo C uye divi rekutenderera kwetsvimbo AB.
Mhinduro:
Nguva yesimba 1:
τ1 =F1 l1 = (10 N)(2,5 m) = 25 mamita eNewton
Nguva yesimba yakanaka nekuti simba F1 zvichiita kuti tsvimbo itenderere ichipesana newachi.

Nguva yesimba 2:
τ2 =F2 l2 = (10 N)(2,5 m) = 25 mamita eNewton
Nguva yesimba yakanaka nekuti simba F2 zvichiita kuti tsvimbo itenderere ichipesana newachi.

Nguva yesimba 3:
τ3 =F3 l3 = (15 N)(7,5 m) = -112,5 mamita eNewton
Nguva yesimba haina kunaka nekuti simba F3 zvichiita kuti tsvimbo itenderere newachi.

Nguva yesimba inobuda:
Στ = τ1 + τ2 – τ3 = 25 + 25 – 112,5 = – 62,5 mamita eNewton
Nguva yesimba inobuda haina kunaka nekuti simba rinobuda F rinoita kuti tsvimbo yeAB itenderere newachi.

6. Kureba kwetsvimbo AB mamita maviri, hukuru hwesimba F ndi1 ndi10 Newton, hukuru hwesimba F2 ndiyo 10 Newton uye hukuru hwesimba F3 i10 Newtons. Tsvaga nguva yesimba inobuda panzvimbo A iri mamita mashanu kubva panzvimbo yekurova kwesimba F.1! Tarisawo divi rekutenderera kwetsvimbo AB.
Kukurukurirana
Muenzaniso wenguva yesimba 11Nzvimbo yekutenderera iri panzvimbo A.
Zvinozivikanwa kuti:
Chimiro 1 (F)1) = 10 Newton
Kureba F1 uye poindi A (r)1) = 5 mamita
Chimiro F1 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 1 (l)1) = r1 pasina 60o = (mamita mashanu)(0,5√3) = 2,5√3 mamita

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Chimiro 2 (F)2) = 10 Newton
Kureba F2 uye poindi A (r)2= = 0
Chimiro F2 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 2 (l)2) = r2 pasina 90o = (0)(1) = 0
Chimiro 3 (F)3) = 10 Newton
Kureba F3 uye poindi A (r)3) = 10 mamita
Chimiro F3 kugadzira angle yemadhigirii makumi mapfumbamweo kurwisa tsvimbo AB
Rudzi rweruoko 3 (l)3) = r3 pasina 30o = (10 mamita)(0,5) = 5 mamita
Akabvunzwa: Nguva yesimba rinobuda pamusoro penzvimbo A uye divi rekutenderera kwetsvimbo AB.
Mhinduro:
Nguva yesimba 1:
τ1 =F1 l1 = (10 N)(2,5√3 m) = 25√3 = 43,3 mamita eNewton
Nguva yesimba yakanaka nekuti simba F1 rinoita kuti tsvimbo itenderere ichipesana newachi.

Nguva yesimba 2:
τ2 =F2 l2 = (10 N)(0) = 0
Nguva yesimba izero nekuti simba F2 inoenderana ne axis yekutenderera

Nguva yesimba 3:
τ3 =F3 l3 = (10 N)(5 m) = -50 mamita eNewton
Nguva yesimba haina kunaka nekuti simba F3 zvichiita kuti tsvimbo itenderere newachi.

Nguva yesimba inobuda:
Στ = τ1 + τ2 – τ3 = 43,3 + 0 – 50 = – 6,7 mamita eNewton
Nguva yesimba inobuda haina kunaka nekuti simba rinobuda F rinoita kuti tsvimbo yeAB itenderere newachi.

7. Mauto matatu F1, F2, uye F3 inoshanda patsvimbo sezvakaratidzwa pamufananidzo unotevera. Kana huremu hwetsvimbo hukasatariswa uye kureba kwetsvimbo kuri mamita mana, saka kukosha kwesimba rinotenderera panzvimbo C ndiko…. (chivi 53o = 0,8, cos 53o = 0,6, AB = BC = CD = DE = mita imwe)
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Moment of Force (Torque) 8a

A. 12 Nm
B. 8 Nm
C. 6 Nm
D. 2 Nm
E. Zero

Kukurukurirana
Zvinozivikanwa kuti:
Mutsetse wekutenderera uri panzvimbo C.
Chimiro 1 (F)1) = 5 Newton
Daro riri pakati penzvimbo dzekushandira F1 ne axis yekutenderera (r)1) = 2 mamita
Chimiro 2 (F)2) = 0,4 Newton
Daro riri pakati penzvimbo yekushanda F2 ne axis yekutenderera (r)2) = 1 mamita
Chimiro 3 (F)3) = 4,8 Newton
Daro riri pakati penzvimbo dzekushandira F3 ne axis yekutenderera (r)3) = 2 mamita
Mubvunzo: Kukosha kwesimba panguva yekutenderera panzvimbo C
Mhinduro:

Nguva Yesimba 1:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Moment of Force (Torque) 8bNguva yesimba 1 inoita kuti tsvimbo itenderere ichipesana newachi kuitira kuti nguva iyoyo yesimba 1 ive nechiratidzo chakanaka.
Nguva Yesimba 2:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Nguva yesimba (torque) 8cNguva yesimba 2 inoita kuti tsvimbo itenderere nenzira yekutenderera kwewachi kuitira kuti nguva yesimba 2 ive nechiratidzo chekusashanda zvakanaka.
Nguva Yesimba 3:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Moment of Force (Torque) 8dNguva yesimba 3 inoita kuti tsvimbo itenderere nenzira yekutenderera kwewachi kuitira kuti nguva yesimba 3 ive nechiratidzo chekusashanda zvakanaka.

Nguva yesimba inobuda:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Moment of Force (Torque) 8eHukuru hwenguva yesimba i2 Newton metres. Nguva yesimba isina kunaka zvinoreva kuti tsvimbo inotenderera ichipesana newachi.
Mhinduro chaiyo ndiD.

8. Hukuru hwesimba rinobuda pachikamu cheO nemasimba anoshanda patsvimbo kana huremu hwayo hukasatariswa ndi….
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Nguva yesimba (torque) 8f

A. 7,5 Nm
B. 4 Nm
C. 3,5 Nm
D. 3 Nm
E. 2 Nm

Kukurukurirana
Zvinozivikanwa kuti:
Mutsetse wekutenderera uri panzvimbo yeO.
Chimiro 1 (F)1) = 6 Newton
Daro riri pakati penzvimbo dzekushandira F1 ne axis yekutenderera (r)1) = 1 mamita
Chimiro 2 (F)2) = 6 Newton
Daro riri pakati penzvimbo yekushanda F2 ne axis yekutenderera (r)2) = 2 mamita
Chimiro 3 (F)3) = 4 Newton
Daro riri pakati penzvimbo dzekushandira F3 ne axis yekutenderera (r)3) = 2 mamita
Mubvunzo: Kukosha kwesimba panguva yekutenderera panzvimbo C
Mhinduro:
Nguva Yesimba 1:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Nguva yesimba (torque) 8gNguva yesimba 1 inoita kuti tsvimbo itenderere ichipesana newachi kuitira kuti nguva iyoyo yesimba 1 ive nechiratidzo chakanaka.
Nguva Yesimba 2:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Nguva yesimba (torque) 8hNguva yesimba 2 inoita kuti tsvimbo itenderere ichipesana newachi kuitira kuti nguva iyoyo yesimba 2 ive nechiratidzo chakanaka.
Nguva Yesimba 3:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Moment of Force (Torque) 8iNguva yesimba 3 inoita kuti tsvimbo itenderere nenzira yekutenderera kwewachi kuitira kuti nguva yesimba 3 ive nechiratidzo chekusashanda zvakanaka.

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Nguva yesimba inobuda:
Kukurukurirana kweBvunzo yeNyika yeFizikisi yeChikoro cheHigh School ya2014 - Nguva yesimba (torque) 8jHukuru hwenguva yesimba i4 Newton metres. Nguva yakanaka yesimba zvinoreva kuti tsvimbo inotenderera ichipesana newachi.
Mhinduro chaiyo ndeiyi B.

9. Tsvimbo yakareba mamita masere. Masimba matatu anoshanda patsvimbo, sezvakaratidzwa mumufananidzo uri pazasi. Hukuru hwenguva yesimba rinoita kuti tsvimbo itenderere pakati payo ndehwekuti…
A. 10 N m
B. 20 N m
C. 30 N m
D. 40 N m
E. 50 N m

Kukurukurirana:
Muenzaniso weNguva yeSimba - UnPakati petsvimbo pari pakati. Tsvimbo yacho yakareba mamita masere, saka pakati petsvimbo pari mamita mana kubva kumagumo etsvimbo.
Nguva yeSimba 1 = F1 l1 = (10 N)(4 m) = 40 N m
Nguva yeSimba 1 ine kukosha kwakanaka nekuti Nguva yeSimba 1 inoita kuti tsvimbo itenderere ichipesana newachi.
Nguva yeSimba 2 = F2 l2 = (10 N)(2 m) = – 20 N m
Nguva yeSimba 2 ine kukosha kwakashata nekuti Nguva yeSimba 2 inoita kuti tsvimbo itenderere newachi.
Nguva yeSimba 3 = F3 l3 = (15 N)(2 m) = – 30 N m
Nguva yeSimba 3 ine kukosha kwakashata nekuti Nguva yeSimba 3 inoita kuti tsvimbo itenderere newachi.

Simba Rinobuda Nguva = 40 N m – 20 N m – 30 N m = – 10 N m

Nguva yesimba kana torque inobuda ine kukosha kwakashata, izvi zvinoratidza kuti divi rekutenderera kwetsvimbo rinotenderera wachi.

Mhinduro chaiyo ndiA.

10. Simba F1 = 10 N, F2 = 15 N, F3 = 15 N uye F4 = 10 N, ichishanda patsvimbo ABCD sezvakaratidzwa mumufananidzo. Kureba kwetsvimbo ABCD mamita makumi maviri. Kana huremu hwetsvimbo hukasatariswa, kukosha kwesimba riri pamusoro pepoindi D ndiko...
A. 15 Nm
B. 18 Nm
C. 35 Nm
D. 63 Nm
E. 68 Nm

Mibvunzo yemuenzaniso wetorque - bvunzo yenyika - 2Kukurukurirana:
Chinangwa chemubvunzo uyu ndechekuwana kukosha kwesimba rinobuda rinoita kuti tsvimbo itenderere, uko pakati pekutenderera pari panzvimbo D.
Nguva yeSimba 1 = F1 l1 = (10 N)(15 m) = 150 N m
Nguva yeSimba 1 ine kukosha kwakanaka nekuti Nguva yeSimba 1 inoita kuti tsvimbo itenderere ichipesana newachi.
Nguva yeSimba 2 = F2 l2 = (15 N)(5 m) = -75 N m
Nguva yeSimba 2 ine kukosha kwakashata nekuti Nguva yeSimba 2 inoita kuti tsvimbo itenderere nenzira imwecheteyo nekutenderera kwewachi.
Nguva yeSimba 3 = F3 l3 = (15 N)(0 m) = 0 N m

Nguva yeSimba 3 haina zero nekuti F3 inoenderana ne axis yekutenderera.
Nguva yeSimba 4 = F4 l4 = (10 N)(5 m) = 50 N m
Nguva yeSimba rechina ine kukosha kwakanaka nekuti Nguva yeSimba rechina inoita kuti tsvimbo itenderere ichipesana newachi.

Simba Rinobuda Nguva = 150 N m – 75 N m + 50 N m = 125 N m
Nguva yesimba kana torque inobuda ine kukosha kwakanaka, saka nzira yekutenderera kwetsvimbo inopesana nenzira yekutenderera kwemaoko ewachi.

 

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