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 = IFR
= 50×(.06)2×9=6rads−2
ai = Rα = 0.06 × 6 = 0.36 ms-2