A block of mass m is placed inside a smooth hollow cylinder of radius R whose axis is kept horizontally. Initially system was at rest. Now cylinder is given constant acceleration 2 g in the horizontal direction by external agent. The maximum angular displacement of the block with the vertical is:
A
2 tan –1 2
B
tan –1 2
C
tan –1 1
D
tan –1 
Text Solution
Verified by ExpertsThe correct answer is:
A
P = pseudo force = m2g ( ← )
w P + w G + w N = Δ K
(m2g) (R sin θ ) – (mg) (R – R cos θ ) + 0 = 0
2 sin θ = 1 – cos θ
tan 
= 2, θ = 2 tan –1 2
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