NEET Solved Paper 2017 Question 34
Question: A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
Options:
A) $ ~5m/s^{2} $
B) $ ~25m/s^{2} $
C) $ ~0.25rad/s^{2} $
D) $ ~25rad/s^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \tau =l\alpha $ $ F\times R=MR^{2}\alpha $ $ 30\times 0.4=3\times {{(0.4)}^{2}}\alpha $ $ 12=3\times 0.16,\alpha $ $ 400=16\alpha $ $ \alpha =25,rad/s^{2} $
