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
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