The pulley system shown in the figure ( Figure 1 ) is used to lift a 52- k g cra

Question

The pulley system shown in the figure (Figure 1) is used to lift a 52-kg crate. Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. The crate is rising with an acceleration of 2.3m/s2 .

Assuming the masses of the chains, pulleys, and ropes are negligible, determine the magnitude of the force F? .

he pulley system shown in the figure (Figure 1) is used to lift a 52-kg crate. Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. The crate is rising with an acceleration of 2.3m/s2 . Assuming the masses of the chains, pulleys, and ropes are negligible, determine the magnitude of the force F? .

Explanation / Answer

The tension in the rope is F.

Draw a free body diagram of the bottom pulley: 2F = T (Since the pulley is massless, forces should balance)

Now, draw the free body diagram of 52kg mass: T - 52 x 9.81 = 52 x 2.3

=> T = 629.72N

Therefore, F = T/2 = 314.86N

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