A block of mass m slides in an inclined right-angled trough as shown in the figure. If the coefficients of kinetic friction between block and material composing the trough is µ k , find the acceleration of the block -
A
g (sin θ – 
cos θ )
cos θ )
B
g (sin θ – μ k cos θ )
C
g (sin θ – 2 μ k cos θ )
D
g (sin θ – 
cos θ )
cos θ )
Text Solution
Verified by ExpertsThe correct answer is:
A
Normal reaction of each surface,
= mg cos θ ⇒ N = 
cos θ ...(1)
⇒ mg sin θ – ( μ N + μ N) = ma
⇒ a = g sin θ – 
μ g cos θ
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