A uniform strut of mass makes an angle with the horizontal. It is supported by a

Question

A uniform strut of mass 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 right end. A cable and package of total weight hang from its upper right end. A)Find the vertical component of the pivot's force on the strut. B)Find the horizontal component of the pivot's force on the strut. C)Find the tension in the rope. D) If the maximum safe tension in the rope is 690 and the mass of the strut is 25.0 , find the maximum safe weight of the cable and package when the strut makes an angle of 52.0 with the horizontal.

Explanation / Answer

c) Given T = 690 N angle = 52 deg m = 25 kg Find the tension in rope. T=(w+(mg/4))cot(angle) 690 = [w+(25*9.81/4)]*cot 52 690 = [w+(61.312)]*cot 52 883.16 = w + 61.312 w = 821.85 N

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