A cylinder of mass 5 kg and radius 30 cm is | vedclass

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(A) The moment of inertia of the cylinder about its axis is $I = \frac{1}{2}MR^2 = \frac{1}{2} 	imes 5 	imes (0.3)^2 = 0.225 \ kg \ m^2$. An angular

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$106.7$

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(A) The moment of inertia of the cylinder about its axis is $I = \frac{1}{2}MR^2 = \frac{1}{2} 	imes 5 	imes (0.3)^2 = 0.225 \ kg \ m^2$. An angular impulse $J = 3 \ kg \ m^2 s^{-1}$ is applied at $t = 0, 4, 8, 12, 16, 20, 24, 28 \ s$. Total number of impulses applied up to $30 \ s$ is $8$ (at $t = 0, 4, 8, 12, 16, 20, 24, 28$). Total angular momentum $L = \sum J = 8 	imes 3 = 24 \ kg \ m^2 s^{-1}$. Since $L = I\omega$,the angular speed is $\omega = \frac{L}{I} = \frac{24}{0.225} = 106.67 \ rad/s \approx 106.7 \ rad/s$.

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