Izinguquko ezijikelezayo - izinkinga nezixazululo

1. Amandla u-F afakwa entanjeni eboshwe nge-pulley yesilinda. I- torque ingu- 2 N m kanti isikhathi sokungaqhubeki kahle singu -1 kg m ² , iyini i- angular acceleration yesilinda.

Kwaziwa:

I-Torque ( τ ) = 2 N m

Isikhathi sokungakhathali (I) = 1 kg m ²

Okufunwayo: Ukusheshisa kwe-angular kwesilinda

Isixazululo:

Στ = I α

Στ = i-torque yengqikithi, I = umzuzu we-inertia, α = ukusheshisa kwe-angular

Ukusheshisa kwesilinda okugobile:

α = Στ / I = 2 / 1 = 2 rad/s ²

2. Amandla u-F afakwa entanjeni eboshwe nge-pulley yesilinda. Ubukhulu bamandla buyi-10 N, irediyasi yesilinda ingu-0.2 m kanti umzuzu we-inertia ungu- 1 kg m 2, Kuyini ukusheshisa kwe-angular kwesilinda?

Kwaziwa:

Amandla (F) = 10 N

Irediyasi yesilinda (R) = 0.2 m

Isikhathi sokungakhathali (I) = 1 kg m ²

Okufunwayo: Ukusheshisa kwe-angular kwesilinda.

Isixazululo:

τ = FR

τ = i-torque, F = amandla, R = irediyasi yesilinda

I-Torque:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Στ = I α

Στ = i-torque yengqikithi, I = umzuzu we-inertia, α = ukusheshisa kwe-angular

Ukusheshisa kwesilinda okugobile:

α = Στ / I = 2 / 1 = 2 rad/s ²

3. Amandla u-F afakwa entanjeni eboshwe nge-pulley yesilinda. Ubukhulu bamandla bungu-10 N, irediyasi yesilinda ingu-0.2 m kanti isisindo sesilinda singama-20 kg m ^2, . Kuyini ukusheshisa kwe-angular kwesilinda.

Kwaziwa:

Amandla (F) = 10 N

Irediyasi yesilinda (R) = 0.2 m

Isisindo sesilinda (M) = 20 kg

Okufunwayo: Ukusheshisa kwe-Angular kwesilinda

Isixazululo:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Isikhathi sokungakhathali:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = 1⁄2 (20)(0.04) = 0.4 kg m ²

Ukusheshisa kwesilinda okugobile:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

4. Ibhulokhi elingu-1-kg elilenga entanjeni eligoqwe nge-pulley yesilinda. Isikhathi sokungangeni kwe-pulley singu-1 kg m ² kanti i-radius ye-pulley ingu-0.2 m. Iyini i-angular acceleration ye-pulley. Ukusheshisa ngenxa yamandla adonsela phansi kungama-10 m/s ².

Kwaziwa:

Isikhathi sokungaphezi kwe-pulley (I) = 1 kg m ²

Isisindo sebhulokhi (m) = 1 kg

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s ²

Isisindo (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Irediyasi ye-pulley (R) = 0.2 m

Okufunwayo: Ukusheshisa kwe-Angular

Isixazululo:

I-Torque:

τ = FR = w R = (1 0 N)(0.2 m) = 2 N m

Isikhathi sokungakhathali:

I = 1 kg m ²

Ukusheshisa kwe-Angular:

α = Στ / I = 2 / 1 = 2 rad/s ²

5. Ibhlogo eliyi-1 kg elilenga entanjeni eligoqwe nge-pulley yesilinda. Isisindo se-pulley singama-20 kg kanti i-radius ye-pulley ingu-0,2 m. Iyini i-angular acceleration ye-pulley kanye ne- free fall acceleration yebhloko. Ukusheshisa ngenxa yamandla adonsela phansi kungu-10 m/s ².

Kwaziwa:

Isisindo se-pulley (M) = 20 kg

Irediyasi ye-pulley (R) = 0,2 m

Isisindo sebhulokhi (m) = 1 kg

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s ²

Isisindo (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Okufunwayo: ukusheshisa kwe-angular kwe-pulley kanye nokusheshisa kokuwa kwamahhala kwebhlokhi.

Isixazululo:

I-torque:

τ = FR = w R = (1 0 N)(0.2 m) = 2 N m

Isikhathi sokungabi namandla kwe-pulley yesilinda:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

Ukusheshisa kwe-angular kwe-pulley:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

Ukusheshisa kokuwa kwamahhala kwebhulokhi:

a = R α = (0.2)(5) = 1 m/s ²