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Physics · PYQ NEET UG 2017
हिन्दीA rope is wound around a hollow cylinder of mass \( 3\text{ kg} \) and radius \( 40\text{ cm} \). What is the angular acceleration of the cylinder if the rope is pulled with a force of \( 30\text{ N} \)?
Correct answer · Option 3
\( 25\text{ rad/s}^2 \)
Explanation
Torque \( \tau = FR = I\alpha \). For a hollow cylinder, \( I = MR^2 \). Thus \( FR = MR^2\alpha \implies \alpha = \frac{F}{MR} = \frac{30}{3 \times 0.4} = 25\text{ rad/s}^2 \).
