Kutenderera kwemiviri yakaoma - matambudziko nemhinduro

Kutenderera kwemiviri yakaoma - matambudziko nemhinduro

Nguva yesimba

1. Masimba matatu anoshanda padanda rine hurefu hwemamita matanhatu, sezvakaratidzwa mumufananidzo uri pazasi. Chii chinonzi net torque inotenderedza danda pamusoro penzvimbo O se axis yekutenderera?

Zvinozivikanwa:Kutenderera kwemiviri yakaoma - matambudziko nemhinduro 1

Mutsetse wekutenderera panzvimbo yeO.

Simba 1 (F 1 ) = F

Daro riri pakati pemutsetse wekuita weF 1 ne axis of rotation (r 1 ) = mamita matatu

Simba 2 (F 2 ) = 2F

Daro riri pakati pemutsetse wekuita weF2 ne axis of rotation (r 2 ) = 2 metres

Simba 3 (F 3 ) = 2F

Daro riri pakati pemutsetse wekuita weF3 ne axis of rotation (r 3 ) = 3 metres

Zvinodiwa: Hukuru hwenguva yesimba

Solution:

Nguva yesimba 1:

τ 1 = F 1 r 1 = (F)(3) = -3F

Nguva yesimba 1 inotenderera danda newachi saka tinoisa chiratidzo chekusaratidza.

Nguva yesimba 2:

τ 2 = F 2 r 2 = (2F)(2) = 4F

Nguva yesimba rechipiri inotenderera danda rinopesana newachi saka tinoisa chiratidzo chakanaka.

Nguva yesimba 3:

τ 3 = F 3 r 3 chivi 30 o = (2F)(3)(0.5) = 3F

Nguva yesimba rechipiri inotenderera danda rinopesana newachi saka tinoisa chiratidzo chakanaka.

Mhedzisiro yenguva yesimba:

Στ = τ 1 + τ 2 + τ 3

Στ = -3F + 4F + 3F

Στ = 4F

Hukuru hwenguva yesimba i4F Newton-meter. Mhedzisiro yenguva yesimba inotenderera danda remwenje richipesana newachi saka tinopa chiratidzo chakanaka.

2. α = 30 o , kureba kweAB = BC = mita imwe. Ndeipi nguva yesimba pamusoro pe axis yekutenderera panzvimbo A?

Zvinozivikanwa:

Chikamu chekutenderera panzvimbo A. Kutenderera kwemiviri yakaoma - matambudziko nemhinduro 2

Simba 1 (F 1 ) = 10 N

Daro riri pakati pemutsetse wekuita weF1 ne axis of rotation (r1 ) = 1 mita

Simba 2 (F 2 ) = 10 N

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Daro riri pakati pemutsetse wekuita weF2 ne axis of rotation (r2 ) = 1 mita

Simba 3 (F 3 ) = 20 N

Daro riri pakati pemutsetse wekuita weF3 ne axis of rotation (r 3 ) = 2 metres

Zvinodiwa: Mugumisiro wenguva yesimba

Solution:

Nguva yesimba 1:

τ 1 = F 1 r 1 chivi 30 o = (10)(1)(0.5) = 5 N m

Nguva yesimba 1 inotenderera danda remwenje richipesana newachi saka tinofungidzira kuti pane chiratidzo chakanaka.

Nguva yesimba 2:

τ 2 = F 2 r 2 sin 30 o = (10)(1)(0.5) = -5 Newton metres

Nguva yesimba rechipiri inotenderera bhaa m newachi saka tinoisa chiratidzo chekuramba chiripo.

Nguva yesimba 3:

τ 3 = F 3 r 3 sin 60 o = (20)(2)(0.5√3) = -20√3 Newton metres

Nguva yesimba rechitatu inotenderera bhaa m newachi saka tinoisa chiratidzo chekuramba chiripo.

Mhedzisiro yenguva yesimba:

Στ = τ 1 + τ 2 + τ 3

Στ = 5 – 5 – 20√3

Στ = – 20√3 N m

Hukuru hwenguva yesimba i20√3 N m. Mhedzisiro yenguva yesimba inotenderera danda newachi saka tinoisa chiratidzo chekuramba chiripo.

  1. Chii chinonzi muviri wakasimba, uye wakasiyana sei nemuviri usina kusimba?
    • Pindura: Muviri wakasimba chinhu chakagadzirirwa zvakanaka umo daro riri pakati pemapoinzi maviri akapihwa mumuviri rinoramba rakafanana, pasinei nemasimba ekunze kana torque. Kusiyana neizvi, muviri usina kusimba unogona kuchinja, zvichiita kuti daro riri pakati pemapoinzi ari mumuviri richinje.
  2. Nguva yekusagadzikana kwemuviri wakaoma ine chekuita sei nekupararira kwawo kwehuwandu?
    • Pindura: Nguva yekusasimba kwemuviri wakasimba ndiyo chiyero chekuramba kwawo kufamba kwese ...
  3. Chii chinorehwa nesimba rinotenderera remuviri wakasimba unotenderera?
    • Pindura: Simba rekufamba-famba rinoyera simba rinokonzerwa nekutenderera kwemuviri wakasimba. Zvinoenderana nenguva yekusashanda zvakanaka uye kumhanya kwemuviri, zvinopihwa ne1/2. , apo inguva yekusagadzikana, uye ndiyo kasi yekona.
  4. Chii chinoitika ku angular momentum yesystem yezvikamu kana pasina torque dzekunze dzinoshanda pairi?
    • Pindura: Kana pasina ma torque ekunze anoshanda pane imwe system ye particles, huwandu hwese hwe angular momentum ye system hunochengetedzwa. Iyi ndiyo musimboti wekuchengetedza angular momentum.
  5. Dzidziso ye parallel-axis inobatsira sei pakuwana nguva yekusagadzikana kwemuviri wakasimba?
    • Pindura: Iyo parallel-axis theorem inobvumira munhu kuverenga nguva yekusagadzikana kwemuviri wakasimba pamusoro pechero axis yakafanana nedaro uye daro kubva padivi nepakati pehukuru hwayo. Inotaura kuti , apo ndiyo nguva yekusagadzikana pakati pehukuru, ndiyo huwandu hwese hwese, uye ndiyo daro riri pakati pemaaxe maviri.
  6. Musiyano uripi pakati pekukunguruka usingatsvedze uye kukunguruka uchitsvedza?
    • Pindura: Kutenderera pasina kutsvedza kunoitika kana muviri wakasimba uchitenderera pane imwe axis yakagadzika uku uchishandurawo, pasina kufamba pakati pemuviri nepamusoro. Kutenderera nekutsvedza zvinoreva kuti pane kufamba kana kutsvedza pakati pemuviri nepamusoro.
  7. Radius ye gyration inoenderana sei nenguva yekusaita basa?
    • Pindura: Radius ye gyration chiyero chinotsanangura kuti huremu hwemuviri hunopararira sei pamusoro pe axis yawo yekutenderera. Inotsanangurwa se square root ye ratio yenguva yekusagadzikana kune huremu uye inopa daro rakaenzana kubva ku axis uko huremu hwese hunogona kuunganidzwa pasina kuchinja nguva yekusagadzikana.
  8. Kuwedzera nguva yekusagadzikana kunoita sei pakumhanya kwekona kwemuviri wakasimba kune torque yakapihwa?
    • Pindura: Kune torque yakatarwa, kuwedzera nguva yekusaita basa kunoderedza kukurumidza kwekona, se , apo kukurumidza kwekona, isimba, uye ndiyo nguva yekusaita chinhu.
  9. Simba rinoshandiswa pamuviri wakaomarara rinogona kukonzera kufamba kwekushandura uye kutenderera here? Tsanangura kuti sei.
    • Pindura: Ehe, simba rinoshandiswa pamuviri wakaomarara rinogona kukonzera kufamba kwekushandura uye kutenderera. Kana simba racho rikashandiswa panzvimbo isingaenderane nepakati pehukuru, rinogona kukonzera kuti muviri ushandure (kufamba zvakananga) uye utenderere. Kufamba kwekushandura kunotsanangurwa nesimba remagetsi, nepo kufamba kwekushandura kunoenderana ne torque inogadzirwa nesimba riri pakati pehukuru.
  10. Sei munhu anotsvedza achimhanya nekukurumidza kana achiswededza maoko ake pedyo nemuviri wake?
  • Pindura: Nekudhonza maoko avo pedyo nemuviri wavo, muskati wechimiro anoderedza nguva yavo yekusagadzikana. Zvichienderana nekuchengetedzwa kwe angular momentum, kana nguva yekusagadzikana ikadzikira uye pasina torque yekunze inoshandiswa, angular velocity inofanira kuwedzera. Saka, muskati anotenderera nekukurumidza.
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Mibvunzo nemhinduro idzi zvinopa kunzwisisa pfungwa huru dzine chekuita nekutenderera kwemiviri yakaoma.

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