A disc of mass M kg and radius R metre is rotating at an angular speed of w rad/s when the motor is switched
off. Neglecting the friction at the axle, the force that must be applied tangentially to the wheel to bring it to
rest in time t is
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42
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ANSWER
Let force be F and radius be R
∴Torque=Iα
FR=
2
MR
2
α(I=
2
MR
2
fordisc)
α=
MR
2F
This α retards ω to 0
∴
MR
2F
=
t
ω
←(acceleration=
t
ΔV
)
⇒F=
2t
MRω
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