JIPMER2012PhysicsRotational Motion
A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 ~rad/s ⁻² is produced in it due to the torque. Then, moment of inertia of the wheel is (g=10 ~ms ⁻² )
Options
- A2 ~kg - m ^2
- B1 ~kg - m ^2
- C4 ~kg - m ^2
- D8 ~kg - m ^2
Correct answer
A. 2 ~kg - m ^2
Step-by-step solution
Given, r=0.4 ~m =8 ~rad / s ⁻¹m=4 ~kg , I= ? Torque, =I g r=I or 4 10 0.4=I 8 I= 16 8 =2 ~kg - m ^2 or I=2 ~kg - m ^2