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A disc of mass  and radius ‘ ’ is free to rotate in a horizontal plane about a vertical smooth fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass  each are placed in it on either side of the centre of the disc as shown in Figure. The disc is given an initial angular velocity  and released

The angular speed of the disc when the balls reach the end of the disc is

a)

b)

c)

d)



Question ID - 101343 | SaraNextGen Top Answer

A disc of mass  and radius ‘ ’ is free to rotate in a horizontal plane about a vertical smooth fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass  each are placed in it on either side of the centre of the disc as shown in Figure. The disc is given an initial angular velocity  and released

The angular speed of the disc when the balls reach the end of the disc is

a)

b)

c)

d)

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

(b)

Let the angular speed of the disc when the reach the end be . From conservation of angular momentum

or

127 votes


127