NEET2014Physics-Rotational Dynamics
NEET 2014 Physics Torque and Angular Acceleration MCQ Question
Type: MCQ-numerical-Medium-Class 11
A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s⁻² is
A
25 N
B
50 N
C
78.5 N
D
157 N
Correct Answer
Option C
Detailed Explanation
The torque τ = Iα, where I = 1/2 mR² for a solid cylinder and α = 2 × 2π rad/s². Solving gives τ = (1/2) × 50 × (0.5)² × 4π = 78.5 N.
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