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Ex2: A beam with a weight of 500 N is connected to the wall with a...

Ex2: A beam with a weight of 500 N is connected to the wall with a hinge. The beam is horizontal and is held in place by a cable that is tied off to a wall. The angle between the cable and beam is 30 degrees. An object with a weight of 200 N is hanging at the end of the beam. a.What is the tension in the cable? b.What is the magnitude and direction of the force exerted on the beam by the hinge?

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Answer #1

a] Let the tension be T,

As it is at equilibrium, net torque about hinge = 0

Wbeam*L/2 + Wobject*L - T*L*sin theta = 0

500/2 + 200 - T* sin 30 degree = 0

T = [500/2 + 200]/sin 30 degree = 900 N answer

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