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What is moment of inertia of a solid sph...

What is moment of inertia of a solid sphere about its diameter.

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(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

Calculate the moment of inertia of earth about its diamter taking mass 10^25 kg and diameter 12800km.

What is the volume of a solid sphere of radius 2R?

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Calculate the moment of inertia of a ring about in axis passing through centre and perpendicular to its plane.

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Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

Calculate the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end.

Define radius of gyration of a rigid body.What is the radius of gyration of a solid sphere of mass 1 kg and radius 50 cm?

R G PUBLICATION-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. What is the relation between linear momentum and angular momentum?

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  2. what is law of conservation of angular momentum .

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  3. What is moment of inertia of a solid sphere about its diameter.

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  4. What is the dimension of moment of inertia? Is it vector?

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  5. A dise of metal is melted and make a solid sphere. What will happen to...

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  6. Two solid sphere of the same mass and same radius, one solid and other...

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  7. What are the factors on which moment of inertia of a body depend?

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  8. Two circular disc A and B of same mass and sam ethickness are made of ...

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  9. Establish the relation between torque and moment of inertia.

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  10. Write the parellel and perpendicular axis theorem.

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  11. If the radius of earth becomes half of it's present radius how many ti...

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  12. Show that angular momentum is conserved.

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  13. The moment of inertia of two rotating bodies A and B are IA and IB (Ia...

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  14. Calculate the moment of inertia of earth about its diamter taking mass...

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  15. What is the physical significance of radius of gyration.

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  16. Prove that I = 2 xx KE of rotation.

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  17. Calculate the moment of inertia of a circular disc passing through cen...

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  18. Show that the value of co-efficient of friction is greater than frac(1...

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  19. Prove and write the perpendicular axis theorem.

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  20. Calculate the moment of inertia of a ring about in axis passing throug...

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