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A body having its centre of mass at the origin has three of its particles at `(a,0,0), (0,a,0),(0,0,a).` The moments of inertia of the body about the X and Y axes are 0.20 kg `-m^2` each. The moment of inertia about the Z-axis

A

is 0.20 `kg-m^2`

B

is 0.40 `kg-m^2`

C

is `0.20 sqrt2` `kg-m^2`

D

cannot be deduced with this information.

Text Solution

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The correct Answer is:
D
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HC VERMA-ROTATIONAL MECHANICS-Objective -1
  1. A body is rotating uniformly about a vertical axis fixed in an inertia...

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  2. If F is the force acting on a particle having position vector vec r an...

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  3. One end of a uniform rod of mas m and length l is clamped. The rod lie...

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  4. A uniform rod is kept vertically on a horizontally smooth surface at ...

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

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  6. Equal torques asct on the discs A and B of theh previous problem, init...

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  7. A closed tube partly filled with water lies is a horizontal plane. If ...

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  8. The moment of inertia of a uniform semi-circular wire of mass 'M' and ...

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  9. Let I1 and I2 be the moments of inertia of two bodies of identical ge...

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  10. A body having its centre of mass at the origin has three of its partic...

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  11. A cubical block of mass M and edge a slides down a rougg inclined plan...

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  12. A thin circular ring of mass M and radius r is rotating about its axis...

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  13. A man is sitting on a rotating stool with his arms outstretched. If su...

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  14. The center of a wheel rolling on a plane surface moves with a speed v0...

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  15. A wheel of radius 20 cm is pushed ot move it on a rough horizontal sur...

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  16. The angular velocity of the engine (and hence of the wheel) on a scoot...

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  17. A solid sphere, a hollow sphere and a disc, all having the same mass a...

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  18. A solid sphere, a ring and a disc all having same mass and radius are ...

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  19. In the previous question the smallest kinetic energy at the bottom of ...

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  20. A string of negligible thicknes is wrapped several times around a cyli...

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