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
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
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