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  4. A rigid mass less rod of length L is hinged at its one end and a weight W is hung at a distance l( < L) from this end. What a force P should be applied upwards at the other end so that the rod remains in equilibrium horizontally?

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Q. A rigid mass less rod of length $L$ is hinged at its one end and a weight $W$ is hung at a distance $l( < L)$ from this end. What a force $P$ should be applied upwards at the other end so that the rod remains in equilibrium horizontally?Physics Question Image

System of Particles and Rotational Motion

Solution:

Taking torque about hinge $A$.
$P L-W l=0 \Rightarrow P=\frac{Wl}{L}$