A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical ?

Question

A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical ?, g L, 1 2 g L, 3 2 g L, 2 g L

MARKS App · Accepted Answer

I = 0 + M L 2 12 + M L 2 2 + 0 + M L 2 = 4 3 M L 2 ( using parallel axis theorem ) ∵ 1 2 I ω 2 = m g h c m ∴ 1 2 4 3 M L 2 ω 2 = 3 M g L 2 ⇒ ω = 3 2 g L

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