A wheel of radius 0.2 m rotates freely about its center when a string… | JEE Main 2025 (2 Apr, Shift 2)

Q21JEE Main 2025 · 2 APR · SHIFT 2Medium

Rotational Kinematics & Dynamics

A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The established torque produces an angular acceleration of $2\text{ rad/s}^{2}$ . Moment of intertia of the wheel is___________ $\text{kg m}^{2}$ . (Acceleration due to gravity $= 10\text{ m/s}^{2}$ )

Numerical answer type. Work it out, then open the answer.

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Answer: 1

$\tau = FR = 10\times0.2 = 2\text{ N m}$
$I = \frac{\tau}{\alpha} = \frac{2}{2} = 1\text{ kg m}^2$

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