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Grade 11Mechanics

A 7.96-kg block rests on a plane inclined at 22.0° to the horizontal, as shown in Fig. The coefficient of static friction is 0.25, while the coefficient of kinetic friction is 0.15. (a) What is the minimum force F, parallel to the plane, that will prevent the block from slipping down the plane? (b) What is the minimum force F that will start the block moving up the plane? (c) What force F is required to move the block up the plane at constant velocity?
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

Profile image of Simran Bhatia
11 Years agoGrade 11
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1 Answer

Profile image of Aditi Chauhan
11 Years ago
236-1155_1.PNG
Round off to three significant figures,
Fmin = 11.3 N
Therefore, the minimum value of \overrightarrow{F}that will prevent the block from slipping down the plane is 11.3 N .
236-478_1.PNG
236-1061_1.PNG
Round off to three significant figures,
F = 40.1 N
Therefore, the force F which will move the block upward with constant velocity is 41.1 N.