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Q.

A block is in limiting equilibrium on a rough horizontal surface. If the net contact force is times the normal force, the coefficient of static friction is:

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a

b

c

0.5

d

answer is A.

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Detailed Solution

Concept- Normal forces and friction are the contact forces. In this case, the block is in the limiting equilibrium means the static friction is equal to the horizontal force acting on the block and it is not moving, use this concept and solve.
The supplied block is in limited equilibrium on a horizontal surface, as stated in the question.
Furthermore, the net contact force is

twice the standard force
The coefficient of static friction must be determined.
Assume N is the normal force acting vertically upward and the coefficient of static friction is 0.

So, the static friction is

(acting horizontal)
Therefore, Net contact force is -

Now, given that the static friction = horizontal force acting on the block

Squaring both sides, we get-

Hence, the correct answer is option 1.

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