Circular MotionMedium
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
On horizontal smooth surface a mass of 2 kg is whirled in a horizontal circle by means of a string at an initial angular...A point mass m is suspended from a light thread of length, fixed at O, is whirled in a horizontal circle at constant spe...A car runs around a curve of radius 10 m at a constant speed of 10 ms–1. Consider the time interval for which car covers...A machine, in an amusement park, consists of a cage at the end of one arm, hinged at O. The cage revolves along a vertic...A car of mass m attempts to go on the circular road of radius r, which banked for a speed of 36 km/hr. The friction coef...