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Answer :
The minimum value of the force F required to keep the 10 kg block at rest on the 37° rough incline is 36 N.
The minimum value of the force F required to keep the 10 kg block at rest on the 37° rough incline can be calculated using the concept of static friction.
The force of static friction can be determined by multiplying the coefficient of static friction (µs) by the normal force acting on the block. In this case, the normal force can be determined by multiplying the mass of the block by the gravitational acceleration and the cosine of the angle of the incline.
Setting up the equation and solving for F, we find a minimum value of 36 N is required.
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