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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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(73)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A nucleus ᴢXᴬ emits an α- particle with velocity v. The recoil speed of the daughter
- The time period of a mass suspended from a spring is T. If the spring is cut into four
- A condenser of 250 μF is connected in parallel to a coil of inductance of 0.16 mH
- A spherical drop of capacitance 1μF is broken into eight drops of equal radius.
- The identical loops of copper and aluminium are moving with the same speed
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!