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

Text Solution
Verified by ExpertsThe 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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