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Suppose you have to move a heavy crate of weight 875 by sliding it along a horiz

ID: 2187590 • Letter: S

Question

Suppose you have to move a heavy crate of weight 875 by sliding it along a horizontal concrete floor. You push the crate to the right with a horizontal force of magnitude 300 , but friction prevents the crate from sliding. Part A Draw a free-body diagram of the crate in the diagram below. Use the dot as the particle representing the crate and make sure to draw your vectors so that they have the correct orientation and their magnitudes, in newtons, are consistent with the conditions of the problem. ++++I have the weight going down, normal going up and the only two left are Fp and Fs (pushing and static forces) please help. I am confused on this diagram.

Explanation / Answer

Let the coefficient of static friction Us between the crate and the floor be 0.56 and that of kinetic friction, Uk, be 0.47. The static friction force is f = umg f = 0.56*875 f = 490 N You need to push it with a force of at least 490 N to make it start sliding. Once it slides, you only need a force F to keep it sliding with constant speed, F = umg F = 0.47*875 F = 411.25 N

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