Home Physics Newton's Laws of Motion Mix A block of mass m slides down an inclined ri…
Physics Newton's Laws of Motion Mix MCQ (Single Correct)

A block of mass m slides down an inclined right-angled trough. If the coefficient of kinetic friction between the block and the trough is μ μ k , acceleration of the block down the plane is

A
g (sin θ θ - 2 μ μ k cos θ θ )
B
g (sin θ θ + 2 μ μ k cos θ θ )
C
g (sin θ θ - √ √ 2 μ μ k cos θ θ )
D
g (sin θ θ - μ μ k cos θ θ )

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Text Solution

Verified by Experts
The correct answer is:
C

(i) m acts downward

(ii) frictional forces up the plane

(iii) reactions N as shown

Then mg sin θ θ - 2 μ μ k N = ma

( Q  there are 2 surfaces)

also mg cos θ θ - N = 0

From (i) and (ii)

mg sin θ θ - 2 μ μ k = ma

or a = g (sin θ θ - μ μ k cos θ θ )

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