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If a gas is filled in a rest sphere, its...

If a gas is filled in a rest sphere, its molecules moves randomly due to the heat energy. Will the centre of mass of molecules exist?

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No, there is no any external force exerted on a rest sphere and according to the law of conservation of momentum centre of mss of molecules remains rest
`therefore vec(v_(cm))=0`
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KUMAR PRAKASHAN-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SECTION-C OBJECTIVE QUESTIONS (VSQs)
  1. Write the kinetic energy of a body of momentum p and velocity v.

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  2. Why do internal forces in a system do not effect the velocity of a sys...

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  3. If a gas is filled in a rest sphere, its molecules moves randomly due ...

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  4. Mention the position of centre of mass of two particles of equal mass.

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  5. What is the SI unit of angular velocity and angular acceleration?

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  6. What is the value of tangential component of a linear acceleration for...

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  7. The linear variable of all particles are same in rotational motion of ...

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  8. Give the rotational analogue of force.

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  9. How will you determine the direction of torque?

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  10. Which component of torque is responsible for the rotation motion about...

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  11. Give the formula for the moment of couple.

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  12. What is the physical quantity of the time rate of the angular momentum...

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  13. What is a rigid body ? Explain the differences between rigid body and ...

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  14. Angular position theta is scalar where angular displacement Deltatheta...

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  15. Which quantity have unit rpm. Show it in rad/s.

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  16. The angular velocity of a particle 5 cm away from the axis of rotation...

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  17. The linear velocity of a particle 2 cm away from the axis of rotation ...

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  18. Write the change in magnitude and direction of angular velocity with r...

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  19. What is an angle between tangential and radiant components of linear a...

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  20. What is the effet of radial and tangential components of linear accele...

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