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A uniform disc of mass  radius  rotates about a fixed vertical axis passing through its centre with angular velocity . A  particle of same mass  and moving horizontally with velocity  towards centre of the disc collides with the disc and sticks to its rim

The angular velocity of the disc after the particle sticks to it is

a)

b)

c)

d)



Question ID - 101385 | SaraNextGen Top Answer

A uniform disc of mass  radius  rotates about a fixed vertical axis passing through its centre with angular velocity . A  particle of same mass  and moving horizontally with velocity  towards centre of the disc collides with the disc and sticks to its rim

The angular velocity of the disc after the particle sticks to it is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

Apply conservation of angular momentum,

Impulse on particle = change in linear momentum

Impulse on hinge is negative of impulse on  disc

127 votes


127