Question

1-A 10 m long bar is attached by a frictionless hinge to a wall and held horizontal by a rope that makes an angle of 53 with the bar. the bar is uniform and weights 40N.

a)how far from the hinge should a 10 kg mass be suspended for the tension T in the rope to be 100 N?

b) determine the vertical component of the force exerted by the hinge on the bar.

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2- A traffic light hangs from a pole. The uniform aluminum pole A-C (A is the point together with the main pole, C is the farthest point), the pole A-C is 12m long with mass=12 kg and held in position by massless cable. The mass of traffic light is 22kg and hangs vertically at distance of 8m from pivot. Note: distance AB= 8m (from pole to traffic light), AC=12m

a) calculate tension in horizontal massless cable

b) calculate reaction force of pivot A due to the rode

Answer 1

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