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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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Topics: Motion of system of Particles and Rigid Body
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Subject: Physics
(2479)
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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!