In the figure ( Figure 1 ) a person lifts a weight w by pulling down on a rope w

Question

In the figure (Figure 1) a person lifts a weight w by pulling down on a rope with a force F? . The upper pulley is attached to the ceiling by a chain, and the lower pulley is attached to the weight by another chain. The weight is lifted at constant speed. Assume that the rope, pulleys, and chains all have negligible weights.

A. In terms of w, find the tension in the lower chain.

B. In terms of w, find the tension in upper chain.

C. In terms of w, find the magnitude of the force F?  if the weight is lifted at constant speed.

Explanation / Answer

a).
tension in lower chain = w

b).
tension in upper chain = w

c)

since the pulley is massless and the speed is constant.

2*F = W
=> F = W/2

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