This force can either push the block upward at a constant velocity or allow it t

Question

This force can either push the block upward at a constant velocity or allow it to slide downward at a constant velocity. The magnitude of the force is different in the two cases, while the directional angle ? is the same. Kinetic friction exists between the block and the wall, and the coefficient of kinetic friction is 0.250. The weight of the block is 40.0 N, and the directional angle for the force is ? = 34.0°. Determine the magnitude of when the block slides (a) up the wall and (b) down the wall.

Explanation / Answer

The mass of the block mg = 40 N the angle of the force = 34 the coefficient of friction = 0.25 When the block moving upwards             ma = Fsin - mg - f = 0                  Fsin = mg + Fcos                   F (sin - cos) = mg Therefore the force when it moves upwards with constant velocity               Fu = mg / (sin - cos ) When the block slides downwards       ma = mg - Fsin - f =0       Fsin + Fcos = mg      F(sin + cos) = mg Therefore the force when it moves downwards with constant velocity            Fd = mg / (sin + cos) Plug the values and solve it

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