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Q.


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


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a

Question Image

b

Question Image

c

0.5

d

Question Image 

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  Question Imagetwice 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.
Question ImageSo, the static friction is Question Image (acting horizontal)
Therefore, Net contact force is -
Question ImageQuestion ImageQuestion ImageNow, given that the static friction = horizontal force acting on the block
Question ImageQuestion ImageSquaring both sides, we get-
Question ImageQuestion ImageQuestion ImageHence, the correct answer is option 1.
 
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