A uniform thin rod of length
L is hinged about one of its ends and is free to rotate about the hinge without friction. Neglect the effect of gravity. A force
F is applied at a distance
x from the hinge on the rod such that force is always perpendicular to the rod. Find the normal reaction at the hinge as a function of '
x', at the initial instant when the angular velocity of the rod is zero.
![695772_f4e1ab31f5fe42e6b7b885bad024d187.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/695772_f4e1ab31f5fe42e6b7b885bad024d187.png)