A rigid body is made of three identical thin rods, each of length .L.fastended together in the form of the letter .H.. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of .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?

A rigid body is made of three identical thin rods, each of length .L.f

1.	A rigid body is made of three identical thin rods, each of length .L.fastended together in the form of the letter .H.. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of .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?
Answer» Solution :The MOMENT of inertia of the SYSTEM about the axis is `I=(4)/(3) ML^(2)`. By conservation of mechanical energy the lose in PE of body is cqual to the gain in rotationalKE. `:.(3)/(2) mgL=(1)/(2) ((4)/(3)mL^(2)), OMEGA^(2)` on solging `omega=(3)/(2) sqrt((g)/(L))`