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Initial angular velocity of a circular d...

Initial angular velocity of a circular disc of mass `M` is `omega_(1)`. Then two small spheres of mass `m` are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc -

A

`((M+m)/(M))omega_(1)`

B

`((M+m)/(m))omega_(1)`

C

`((M)/(M+4m))omega_(1)`

D

`((M)/(M+2m))omega_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-SYSTEM OF PARTICLES & ROTATIONAL MOTION -EXERCISE-1 : CONCEPT BUILDER
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  3. Find the moment of inertia of a uniform square plate of mass M and edg...

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  4. Moment of inertia of a uniform circular disc about a diameter is I. It...

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  5. A circular disc X of radius R is made from an iron plate of thickness ...

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  6. Point masses 1, 2, 3 "and" 4 "kg are lying at the point (0, 0, 0), (2,...

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  7. For the given uniform square lamina ABCD, whose centre is O,

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  8. Initial angular velocity of a circular disc of mass M is omega(1). The...

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  9. A loop rolls down on an inclined plane. The fraction of its kinetic en...

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  10. A rod PQ of length L revolves in a horizontal plane about the axis YY´...

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  11. A ball rolls without slipping. The radius of gyration of the ball abou...

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  12. A solid sphere rolls on a smooth horizontal surface at 10 m//s and the...

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  13. A solid cylinder of mass m & radius R rolls down inclined plane withou...

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  14. The least coefficient of friction for an inclined plane inclined at an...

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  15. A tangential force of 20 N is applied on a cylinder of mass 4 kg and m...

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  16. A body of moment of inertia about its axis of rotation is 3 kg m^(2) a...

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  17. A toy car rolls down the inclined plane as shown in the fig. It loops ...

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  18. The moment of inertia of the body about an axis is 1.2 kg m^(2). Initi...

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  19. A uniform rod of length l is free to rotate in a vertical plane about ...

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  20. A cord is wound round the circumference of wheel of radius r. The axis...

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