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Q.

In the system shown, thread is inextensible, masses of the thread and that of the pulleys are negligible as compared to the loads to be lifted and friction at the axles of the pulleys is absent. Masses of the loads are $m_{1} = 1.0 k g$ and $m_{2} = 2.0 k g .$ Acceleration of free fall is $g = 10 m / s^{2} .$ If axle of the pulley A is pulled upwards with a force $F = 20 N,$ the acceleration of A in $m / s^{2}$ will be $x .$ Find $10 x$

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Detailed Solution

$a_{1} = 10 m / s^{2}$ upwards, $a_{2} = 5 m / s^{2}$ downwards

$∴ a_{A} = 7.5 m / s^{2}$ upwards

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In the system shown, thread is inextensible, masses of the thread and that of the pulleys are negligible as compared to the loads to be lifted and friction at the axles of the pulleys is absent. Masses of the loads are m1=1.0kg and m2=2.0kg. Acceleration of free fall is g=10 m/s2. If axle of the pulley A is pulled upwards with a force F=20N, the acceleration of A in m/s2 will be x. Find 10x