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Question

A block of mass 2kg is pushed against a rough vertical wall with a force of 40N, coefficient of static friction being 0.5. Another horizontal force of 15N, is applied on the block in a direction parallel to the wall. If the block will move, then its direction would be:

A
15o with 15N force
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B
53o with 15N force
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C
45o with 15N force
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D
75o with 15N force
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Solution

The correct option is B 53o with 15N force
Downward force is 20N and the horizontal force is 15N.
Thus the total resulatant force is 25N and the Normal contact force by the wall is 40N.
Thus the friction force is 0.5×40=20N.
The block will move, but the direction is =sin1(2025)=530 with the direction of 15N force.

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