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A wheel of moment of inertia Ι and radius R is rotating about its axis at an angular speed ω0. A small fragment of mass m breaks off from its rim. Find the final angular velocity of the wheel.

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a

I ω0I−mR2

b

ω0

c

I ω0I+mR2

d

I+mR2ω0I

answer is B.

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Detailed Solution

Ι−mR2ω+mωR2=Ιω0⇒ ω=ω0

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A wheel of moment of inertia Ι and radius R is rotating about its axis at an angular speed ω0. A small fragment of mass m breaks off from its rim. Find the final angular velocity of the wheel.