Physics · Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions
Assertion (A) : A wheel may be rotated with uniform angular velocity even though
Assertion (A) : A wheel may be rotated with uniform angular velocity even though the tangential forces are applied on it. Reason (R) : Angular acceleration of wheel is zero when tangential force and frictional force produce torques equal in magnitude and opposite in direction
- A. Both A and R are true and R is correct explanation of A
- B. Both A and R are true and R is not correct explanation of A
- C. A is true and R is false
- D. A is false and R is true
Step-by-step solution
The assertion is true because a wheel can have zero net torque even with tangential forces applied, resulting in constant angular velocity. The reason states that if tangential force and friction produce equal and opposite torques, the net torque is zero, leading to zero angular acceleration. This directly explains how uniform angular velocity is possible despite tangential forces.
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