A uniform strut of mass ?m makes an angle ?? with the horizontal. It is supported by a frictionless pivot located at one third its length from its lower left end and a horizontal rope at its upper tight end. A cable and package of total weight ?w hang from its upper right end. (a) Find the vertical and horizontal components ?V and ?H of the pivot’s force on the strut as well as the tension ?T in the rope. (b) If the maximum safe tension in the rope is 700 N and the mass of the strut is 30.0 kg, find the maximum safe weight of the cable and package when the strut makes an angle of 55.0° with the horizontal. (c) For what angle ?? can no weight be safely suspended from the right end of the strut?
Problem 59P Solution 59 P Step 1: In this question, we need to find the horizontal component V and H of the pivot’s force on the strut and find the tension T in the rope 0 In the second part we need to find the maximum weight of the cable and packages when strut makes 55 with the horizontal We need to find the angle at which no weight can be safely suspended from the right end of strut Data given Mass of strut m Angle made For second part Maximum tension T = 700 N Mass of strut m = 30 kg 0 Angle made by strut = 55 Step 2 : We have horizontal and vertical component given by Along the vertical component V We have mass m which is acted by gravitational force We have V = mg + w