Question
Asked Nov 17, 2019
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A block of mass 57.1 kg rests on a slope having an angle of elevation of 24.3°. If pushing downhill on the block with a force just exceeding 182 N and parallel to the slope is sufficient to cause the block to start moving, find the coefficient of static friction.
 
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Expert Answer

Step 1

The free body diagram (FBD) of the block is,

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N F-182 N FrN wsin24.3 Vwcos24.3 w-mg -24.30

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Step 2

From the free body diagram, apply Newton’s second law of motion along the y-axis, consider the acceleration of the block along the y...

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LF, -та, ΣΕ N -wcos24.3° = m(0) N =mg cos 24.3°

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