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In Fig. P5.62 a worker lifts a weight w by pulling down on
Chapter 8, Problem 58P(choose chapter or problem)
In Fig. P5.58 a worker lifts a weight w by pulling down on a rope with a force \(\overrightarrow{\boldsymbol{F}}\). The upper pulley is attached to the ceiling by a chain, and the lower pulley is attached to the weight by another chain. In terms of w, find the tension in each chain and the magnitude of the force \(\overrightarrow{\boldsymbol{F}}\) if the weight is lifted at constant speed. Include the free-body diagram or diagrams you used to determine your answers. Assume that the rope, pulleys, and chains all have negligible weights.
Questions & Answers
QUESTION:
In Fig. P5.58 a worker lifts a weight w by pulling down on a rope with a force \(\overrightarrow{\boldsymbol{F}}\). The upper pulley is attached to the ceiling by a chain, and the lower pulley is attached to the weight by another chain. In terms of w, find the tension in each chain and the magnitude of the force \(\overrightarrow{\boldsymbol{F}}\) if the weight is lifted at constant speed. Include the free-body diagram or diagrams you used to determine your answers. Assume that the rope, pulleys, and chains all have negligible weights.
ANSWER:
Solution 58P Step 1: Let us draw a free body diagram The tension for pulley 1 is will be given by Weights hanging That is W Similarly the only factor acting as tension on pulley two is weight W Hence we have tension as W Therefore T 1 W and T = W 2