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

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

Numerical

(a) $\frac{2}{3} \sqrt{\frac{g}{l}}$

(b) $\frac{1}{3} \sqrt{\frac{g}{l}}$

(c) $\frac{3}{2} \sqrt{\frac{g}{l}}$

(d) $\frac{4}{3} \sqrt{\frac{g}{l}}$

Ans: (c)