Rotational MotionHard
Question
A rod hinged at one end is released from the horizontal position as shown in the figure. When it becomes vertical its lower half separates without exerting any reaction at the breaking point. Then the maximum angle ′θ′ made by the hinged upper half with the vertical is
Options
A.30o
B.45o
C.60o
D.90o
Solution
Angular velocity of rod in vertical position
upper part of rod rotates through an angle θ its centre of mass will rise
(1 - cosθ) From energy conservation
=
MgL cos θ
⇒ θ = 60o
upper part of rod rotates through an angle θ its centre of mass will rise
(1 - cosθ) From energy conservation=
MgL cos θ⇒ θ = 60o
Create a free account to view solution
View Solution FreeMore Rotational Motion Questions
One quarter section is cut from a uniform circular disc of radius R. This section has a mass M. It is made to rotate abo...By the theorem of perpendicular axes, if a body be in X-Z-plane then :-...A thin rod of mass m and length l is hinged to a ceiling and it is free to rotate in a vertical plane. A particle of mas...A bicycle is in motion. The force of friction exerted by the ground on its wheel is such that it acts :...A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same h...