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a thin wire of length l and mass m is bent in the form of semicircle. what will be the moment of inertia about an axis perpendicular to its plane and passing through the end of wire?

a thin wire of length l and mass m is bent in the form of semicircle. what will be the moment of inertia about an axis perpendicular to its plane and  passing through the end of wire?

Grade:11

2 Answers

Uddipan Das
20 Points
6 years ago
The length of the rod= Length of the semicircle= L= πR => R=L/πmoment of inetia of the circle about its free ends is the same as the moment of inertia of a circular ring of same parameters= mR²= mL²/2π²
Uddipan Das
20 Points
6 years ago
The length of the rod= Length of the semicircle= L= πR => R=L/πmoment of inetia of the circle about its free ends is the same as the moment of inertia of a circular ring of same parameters= mR²/2= mL²/2π²

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