A cockroach is moving with a velocity v in anticlockwise direction on the rim

A Cockroach Is Moving With A Velocity V In Anticlockwise Physics QuestionA Cockroach Is Moving With A Velocity V In Anticlockwise Physics Question

A cockroach is moving with a velocity v in anticlockwise direction on the rim of a radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ?. If the cockroach stops, the angular velocity of the disc will be

Options

(a) I?/(I+mR²)
(b) (I?+mvR)/(I+mR²)
(c) (I?-mvR)/(I+mR²)
(d) (I?-mvR)/I

Correct Answer:

(I?-mvR)/(I+mR²)

Explanation:

No explanation available. Be the first to write the explanation for this question by commenting below.

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  • Since the phenomenon occurs in the absence of external torque, so applying the law of conservation of angular momentum-

    I disc ×ω - mvR = (I disc + mR²)×ω`
    ω` = Iω - mvR/ I + mR²

    Therefore, option c is correct!

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