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.
View Comments (1)
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!