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
Create a free account to view solution
View Solution FreeMore Circular Motion Questions
A rod of length L is hinged at one end and it is rotated with a constant angular velocity in a horizontal plane . Let T1...A spherically symmetric gravitational system of particles has a mass density ρ = where ρ0 is a constant. A tes...A small block slides with velocity 0.5 on the horizontal frictionless surface as shown in the Figure. The block leaves t...A particle is moving in the vertical plane. It is attached at one end of a string of length l whose other end is fixed. ...Which of the following quantities may remain constant during the motion of an object along a curved path :...