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Grade 11Mechanics

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?

Profile image of anirban deb
11 Years agoGrade 11
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2 Answers

Profile image of Uddipan Das
8 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
Profile image of Uddipan Das
8 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