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A circular disc of radius R and thicknes...

A circular disc of radius `R` and thickness `R//6` has moment of inertia `I` about an axis passing through its centre and perpendicular to its plane. It is melted and recast into a solid sphere. The `M.I` of the sphere about its diameter as axis of rotation is

A

Inside the circular plate

B

2I/3

C

I/5

D

I/10

Text Solution

Verified by Experts

The correct Answer is:
C
`I = 1/12 piR^(5) rho ` volume of disc = volume of sphere `rArr ` radius of sphere `(R^(1)) = R/2 `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (H.W)
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  2. Three point masses m(1),m(2),m(3) are placed at three corners of an ...

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  3. A circular disc of radius R and thickness R//6 has moment of inertia I...

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  4. Three rods each of mass m and length L are joined to form an equila...

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  5. Four thin uniform rods each of length L and mass m are joined to fo...

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  6. Find moment of inertia of half disc of radius R(2) and mass M abou...

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  7. Two circular loops A and B are made of the same wire and their radii a...

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  8. A circular disc is rotating without friction about its natural axis wi...

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  9. A ballot dancer is rotating about his own vertical axis on smooth hori...

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  10. A uniform metal rod of length L and mass M is rotating about an axis p...

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  11. A ball of mass 1 kg is projected with a velocity of 20sqrt(2) m/s ...

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  12. A uniform sphere of mass m , radius r and moment of inertia I ab...

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  13. When 200 J of work is done on a fly wheel its frequency of rotation in...

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  14. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

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  15. If the kinetic energy of a rotating body about an axis is decreased by...

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  16. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

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  17. An initial momentum is imparted to a homogenous cylinder, as a results...

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  18. A solid cylinder starts rolling down on an inclined plane from its top...

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  19. A thin metal rod of length 0.5 m is vertically straight on horizontal ...

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  20. A wheel of radius 0.2 m rolls without slip ping with a speed 10m/s...

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