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
A particle of mass m is projected with a velocity v making an angle of 45o with the horizontal. The magnitude of the ang...A wheel is rotating about an axis through its centre at 720 rpm. It is acted on by a constant torque opposing its motion...A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The ini...A rod of mass M and length L is placed in a horizontal plane with one end hinged about the vertical axis. A horizontal f...By the theorem of perpendicular axes, if a body be in X-Z-plane then :-...