Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho

1. Mphamvu F imagwiritsidwa ntchito pa chingwe chozunguliridwa ndi pulley ya silinda. makokedwe is 2 N m ndi mphindi ya inertia is 1 makilogalamu m2, ndi chiyani kuthamanga kwa angular ya silinda.

Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho 1Zodziwika:

Torque (τ) = 2 N m

Nthawi ya inertia (I) = 1 kg m2

SE basi: Kuthamanga kwa angular kwa silinda

Yankho:

Στ = Ine α

Στ = mphamvu yokwanira, I = mphindi ya inertia, α = kuthamanga kwa angular

Kuthamanga kwa silinda mozungulira:

α = Στ / I = 2 / 1 = 2 rad/s2

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2. Mphamvu F imagwiritsidwa ntchito pa chingwe chozunguliridwa ndi pulley ya silinda. Kukula kwa mphamvu ndi 10 N, utali wa silinda ndi 0.2 m ndipo nthawi ya inertia ndi 1 makilogalamu m2, WKodi kuthamanga kwa silinda ndi kotani?

Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho 2Zodziwika:

Mphamvu (F) = 10 N

Utali wa silinda (R) = 0.2 m

Nthawi ya inertia (I) = 1 kg m2

SE basi: Kuthamanga kwa silinda.

Yankho:

τ = FR

τ = torque, F = mphamvu, R = radius ya silinda

Makokedwe:

τ = FR = (10 N(0.2 m) = 2 N m

Στ = Ine α

Στ = mphamvu yokwanira, I = mphindi ya inertia, α = kuthamanga kwa angular

Kuthamanga kwa silinda mozungulira:

α = Στ / I = 2 / 1 = 2 rad/s2

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3. Mphamvu F imagwiritsidwa ntchito pa chingwe chozunguliridwa ndi pulley ya silinda. Mphamvu yake ndi 10 N, utali wa silinda ndi 0.2 m ndipo kulemera kwa silinda ndi 20 kg m2,. Wchipewa ndi liwiro la angular la silinda.

Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho 3Zodziwika:

Mphamvu (F) = 10 N

Utali wa silinda (R) = 0.2 m

Kulemera kwa silinda (M) = 20 kg

Akufuna: Kuthamanga kwa silinda kozungulira

Yankho:

τ = FR = (10 N(0.2 m) = 2 N m

Nthawi ya kutopa:

Ine = 1⁄2 MR2 = 1⁄2 (20)(0.2)2 = 1⁄2 (20)(0.04) = 0.4 kg m2

Kuthamanga kwa silinda mozungulira:

α = Στ / I = 2 / 0.4 = 5 rad/s2

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4. Chipika cha 1 kg chomwe chapachikidwa pa chingwe chozungulira pulley ya silinda. Nthawi ya kulephera kwa pulley ndi 1 kg m2 ndipo utali wa pulley ndi 0.2 m. Kodi kuthamanga kwa angular kwa pulley ndi kotani? Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s2.

Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho 4Zodziwika:

Nthawi ya kulephera kwa pulley (I) = 1 kg m2

Misa ya chipika (m) = 1 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s2

Kunenepa (w) = mg = (1 kg)(10 m/s2) = 10 kg m/s2 = 10 n

Utali wa pulley (R) = 0.2 m

Akufuna: Kuthamanga kwa ngodya

Yankho:

Makokedwe:

τ = FR = w R = (10 N(0.2 m) = 2 N m

Nthawi ya kutopa:

I = 1 kg m2

Kuthamanga kwa angular:

α = Στ / I = 2 / 1 = 2 rad/s2

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5. Chipika cha 1 kg chomwe chimapachikidwa pa chingwe chozungulira pulley ya silinda. Kulemera kwa pulley ndi 20 kg ndipo utali wa pulley ndi 0,2 m. Kodi kuthamanga kwa angular kwa pulley ndi chiyani? kugwa kwaulere Kuthamanga kwa chipikacho. Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s2.

Kusintha kwa kayendetsedwe ka zinthu - mavuto ndi mayankho 5Zodziwika:

Kulemera kwa pulley (M) = 20 kg

Utali wa pulley (R) = 0,2 m

Kulemera kwa chipika (m) = 1 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s2

Kulemera (w) = mg = (1 kg)(10 m/s2) = 10 kg m/s2 = 10 n

Akufuna: kuthamanga kwa angular kwa pulley ndi kuthamanga kwa free fall kwa block.

Yankho:

Mphamvu ya mphamvu:

τ = FR = w R = (10 N(0.2 m) = 2 N m

Nthawi ya inertia ya pulley ya silinda:

Ine = 1⁄2 MR2 = 1⁄2 (20)(0.2)2 = (10)(0.04) = 0.4 kg m2

Kuthamanga kwa angular kwa pulley:

α = Στ / I = 2 / 0.4 = 5 rad / s2

Kuthamanga kwa kugwa kwaulere kwa block:

a = R α = (0.2)(5) = 1 m/s2

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