A uniform rod having a length of m
and weighing N is resting in a horizontal position on
two supports, where the support is at the end , and
is at a distance from the end .
Find the reaction of the support and the distance ,
given that .
The total reaction acting on the rod is equal to the weight. Using the relation of the reaction forces given in the question, we get
The moment of a force about a point is the product of the magnitude
of the force and the perpendicular distance between the force and that point.
Taking moments around :
Since the rod is in equilibrium, the sum of algebraic measures of moments is equal to zero.