The pulley system in Figure 6-18 is used to lift a crate of mass m = 60 kg. Note

Question

The pulley system in Figure 6-18 is used to lift a crate of mass m = 60 kg. Note that a chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. Assume that the masses of the chains, pulleys, and ropes are negligible.

The pulley system in Figure 6-18 is used to lift a crate of mass m = 60 kg. Note that a chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. Assume that the masses of the chains, pulleys, and ropes are negligible. Determine the force F required to lift the crate with constant speed. Determine the tension in each chain when the crate is being lifted with constant speed. N (top chain) N(bottom chain)

Explanation / Answer

let tension in the string be T. since the acceleration is 0. tension in lower chain = mg for the lower pulley, F = m*a => T + T - tension in lower chain = 0*a (since the pulleys are massless) => T = mg/2 a) Force F = T = mg/2 =60*9.8/2 = 294 N b). tension in top chain = T + T (since the pulleys are massless) => tension in top chain = mg = 60*9.8 = 588 N tension in lower chain = mg = 588 N

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