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A solid cylinder of radius 5 cm and mass...

A solid cylinder of radius 5 cm and mass 0.5 kg rolls down an inclined plane (1 in 10). Calculate the acceleration and total energy of the cylinder after 10 S.

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a = 0.653 `ms^(-2)`
K.E. = 63.96J
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BINA LIBRARY-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. A solid cylinder of radius 5 cm and mass 0.5 kg rolls down an inclined...

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  2. Define torque. State its dimensions.

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  3. What is the role of MI in rotational motion?

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  4. What is radius of gyration? It is a constant quantity?

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  5. What do you mean by angular momentum.

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  6. What is KE of rotation of rigid body ?

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  7. Express torque in terms of moment of inertia.

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  8. Express angular momentum of a system of particles in term of M.I.

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  9. Name the physical quantity which has the same meaning as momentum.

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  10. Name the physical quantity which has the same meaning as rate of chang...

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  11. Establish the principle of conservation of angular momentum.

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  12. Show that the rate of change of angular momentum is proportional to th...

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  13. Find an expression for the total kinetic energy of a rolling body.

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  14. Find the ratio of total kinetic energy to the rotational kinetic energ...

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  15. State and prove theorem of parallel axes.

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  16. State and prove theorem of perpendicular axes.

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  17. Find an expression for MI of a thin circular RING about an axis passin...

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  18. Obtain an expression for MI of a circular disc about a diameter of the...

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  19. Derive an expression for MI of a solid cylinder about its axis.

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  20. What do you mean by the moment of Inertia of a body?

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  21. Establish a relation between the torque and moment of inertia of a rig...

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