Equilibrium of a Rod with Collar, Floor Support, and Cable

Calculus · Calculus

Question

A uniform rod AB has a mass of 40 kg. End A is constrained by a smooth collar on a vertical wall (reaction at A is horizontal only). End B rests on a smooth horizontal floor (reaction at B is vertical only). The rod is 3 m long and makes an angle of 60° with the horizontal. A cable connects point B to point C at the base of the vertical wall (directly below A). Determine the tension in cable BC.

Step-by-step video solution

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