Lesson: Equilibrium of a Rigid Body under Parallel Forces

A uniform rod having a weight of 64 N and a length of 168 cm is resting horizontally on two identical supports at its ends. A weight of magnitude 56 N is suspended at a point on the rod that is cm away from . If the magnitude of the reaction at is double that at , determine the value of .

A uniform rod having a weight of 35 N is resting horizontally on two supports and at its ends, where the distance between the supports is 48 cm. If a weight of magnitude 24 N is suspended at a point that is 38 cm away from , determine the reactions of the two supports and .

A non-uniform rod having a weight of 40 N and a length of 80 cm is suspended vertically from its midpoint by a light string, and it becomes in equilibrium in a horizontal position when a weight of magnitude 29 N is suspended from its end . Determine the distance between the point at which the weight of the rod is acting and end . After removing the weight at , determine the magnitude of the vertical force that would be needed to keep the rod in equilibrium in a horizontal position when it acts at end .