Home Physics Newton's Laws of Motion Equilibrium of Forces A board is balanced on a rough horizontal se…
Physics Newton's Laws of Motion Equilibrium of Forces MCQ (Single Correct)

A board is balanced on a rough horizontal semicircular log. Equilibrium is obtained with the help of addition of a weight to one of the ends of the board when the board makes an angle θ θ with the horizontal. Coefficient of friction between the log and the board is

A
tan θ θ
B
cos θ θ
C
cot θ θ
D
sin θ θ

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Text Solution

Verified by Experts
The correct answer is:
A

Let m b be the mass of board and m be the mass placed at one end of the board.

Then for equilibrium

μ μ N cos θ θ = N sin θ θ

i.e., μ μ = tan θ θ

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