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Problem 6: A uniform beam of length L = 3.2 m and mass M = 32 kg has its lower end fixed to pivot at a point P on the floor

Problem 6: A uniform beam of length L = 3.2 m and mass M = 32 kg has its lower end fixed to pivot at a point P on the floor, making an angle θ = 29° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass Mas the beam is suspended from a rope that is attached to the beam one-fourth L from its upper end. 

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Part (a) What is the y-component Py of the force, in newtons, exerted by the pivot on the beam? 

Part (b) Write an expression for the tension Tin the horizontal cable AB

Part (c) What is the x-component P of the force, in newtons, exerted by the pivot on the beam? 

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Answer #1

C)

Tension, T = 5 mg cot(theta)/4

T = 5 x 32 x 9.8 x cot(29)/4

T = 707.19 N

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