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A dise of metal is melted and make a solid sphere. What will happen to moment of inertia about the axis passing through centre?

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A disc of metal is melted and recast in the form of a solid sphere. What will happen to the moment of inertia about a vertical axis passing through the centre?

A ring and a circular disc of different materials have equal masses and equal radii. Which one will have a larger moment of inertia about an axis passing through its centre of mass perpendicular to its plane?

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

Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?

(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.

Two solid sphere of the same mass and same radius, one solid and other hollow. Which one have greater moment of inertia about a diameter?

Given the M.I. of a dise of mass M and radius R about any of its diameter to be MR^2 /4. Find its M.I about an axis (i) passing through its centre and normal to it, and (ii) passing through a point at its edge and normal to it.

Define moment of inertia and radius of gyration. Deduce an expression for MI of a circular disc about an axis passing through its centre. Two circular discs have their masses in the ratio 1:2 and their diameters 2:1 . Calculate the ratio of their moments of inertia

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R G PUBLICATION-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. What is moment of inertia of a solid sphere about its diameter.

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

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

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

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

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

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

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  8. Write the parellel and perpendicular axis theorem.

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

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  10. Show that angular momentum is conserved.

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

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

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

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

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

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

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  17. Prove and write the perpendicular axis theorem.

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

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  19. Prove that angular momentum L = I omega.

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

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