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

ID: 2138912 • Letter: T

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 2.9m/s2 .




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

F? .


B. Determine the direction of the force F.

                a) Upward

                b) Downward


C. Determine the tension in the upper chain.


D. Determine the tension in the lower chain.

F

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 2.9 Assuming the masses of the chains, pulleys, and ropes are negligible, determine the magnitude of the force Determine the direction of the force F. Determine the tension in the upper chain. Determine the tension in the lower chain.

Explanation / Answer

B. The direction of force must be downwards.

A.

applyng newyon's laws ,

2*T-52*9.8 = m*a

2*T -52*9.8= 52*2.9,

T = 660.4N

as the string is same .

force F must be equal to T,

F = 660.4N,

C.

tension in the upper chain = 2* T = 2*660.4 = 1320.8 N

tension in the lower chain = 2* T = 2*660.4 = 1320.8 N