Circular MotionHard
Question
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:
Options
A.2 tan-1 2
B.tan-1 2
C.tan-1 1
D.2 tan-1 (1/2)
Solution
P = pseudo force = m2g (←)
wP + wG + wN = ᐃK
(m2g) (R sin θ) − (mg) (R − R cos θ) + 0 = 0
2 sin θ = 1 − cos θ
tan (θ/2) = 2, θ = 2 tan-1 2
wP + wG + wN = ᐃK
(m2g) (R sin θ) − (mg) (R − R cos θ) + 0 = 0
2 sin θ = 1 − cos θ
tan (θ/2) = 2, θ = 2 tan-1 2
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