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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
- The angle between the vectors (i+j) and (j+k) is
- Given a sample of radium-226 having half-life of 4 days. Find the probability,
- The capacitance of two concentric spherical shells of radii R₁ and R₂ (R₂>R₁) is
- A solenoid 1.5 m long and 0.4 cm in diameter possesses 10 turns per cm length
- The equation of state for 5 g of oxygen at a pressure P and temperature T,
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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!