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A clutch assembly consists of two discs ...

A clutch assembly consists of two discs `A` and `B` of moment of inertia `2I` and `I` respectively, one being the engine fly wheel, the other one is the clutch plate. The discs are initially rotaing with angular velocities `omega_(A)=omega` and `omega_(B)=2omega` as shown in fig. When the two disc are brought into contact the discs rub against each other and eventually reach a common angualr velocity `omega`.
(a) Derive an expressio for `omega`
(b) What is the angular impulse of friction on any one of the discs?

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