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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
(73)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two capacitors of 10pF and 20pF are connected to 200V and 100V sources, respectively.
- Two resistors of 6Ω and 9Ω are connected in series to a 120 V source.
- A body is thrown vertically upward in air when air resistance is taken into account
- In n-type semiconductor, electrons are majority charge carriers
- If two vectors 2i+3j+k and -4i-6j-λk are parallel to each other, then the value of λ is
Topics: Motion of system of Particles and Rigid Body (73)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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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!