Solveeit Logo

Question

Question: A cable is wrapped several times around a uniform solid cylinder that can rotate about its axis. The...

A cable is wrapped several times around a uniform solid cylinder that can rotate about its axis. The cylinder has diameter 12 cm and mass 50 kg. The cable is pulled with a force 9 N. Assuming cable unwinds without stretching or slipping, find its acceleration

A

0.3 ms-2

B

0.32 ms-2

C

0.36 ms-2

D

0.4 ms-2

Answer

0.36 ms-2

Explanation

Solution

τ = Iα = FR or α = FRI\frac{FR}{I}

= 2×950×(.06)=6rads2\frac{2 \times 9}{50 \times (.06)} = 6rads^{- 2}

ai = Rα = 0.06 × 6 = 0.36 ms-2