Question

write mathematical formula of moment of inertia for the following,rod ,disc,ring,sphere hollow and solid​

Answer 1

Answer:

ROD

length is l , mass is m

then, moment of inertia M about centre of mass

M = ml²/12

DISC

radius of disc is r , mass is m

then, moment of inertia M about centre of mass

M = mr²/2

RING

radius of ring is r, mass is m

then, moment of inertia M about centre of mass

M = mr²

HOLLOW SPHERE

radius of hollow sphere is r , mass is m

then, moment of inertia M about centre of mass

M = ⅔ mr²

SOLID SPHERE

radius of solid sphere is r, mass is m

then, moment of inertia M about centre of mass

M = ⅖ mr²

hope it helps

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