A box rest on an incline making a 35 angle with the horizontal.  It is found that a parallel force to the incline of at least 240 N can prevent the box from sliding down the incline.  If the weight of the box is 800 N, find the coefficient of static friction between the box and the incline.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 69A
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A box rest on an incline making a 35 angle with the horizontal.  It is found that a parallel force to the incline of at least 240 N can prevent the box from sliding down the incline.  If the weight of the box is 800 N, find the coefficient of static friction between the box and the incline.

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Step 1

Given data

The angle of inclination of the incline is θ=35°.

The parallel force applied to the block is F = 240 N.

The weight of the box is W = 800 N.

The free-body diagram of the problem is given as,

 

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