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Show that in the absence of any external...

Show that in the absence of any external force, the velocity of CM remains constant.

Text Solution

Verified by Experts

`vecF_("ext")=M.veca_(CM)`
since `vecF_(ext)=0`
`Mveca_(CM)=0`
i.e.`veca_(CM)=0`
`veca_(CM)=d/(dt)(vecV_(CM))`
`:.vecV_(CM)=` constant
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PREMIERS PUBLISHERS-MOTION OF SYSTEM OF PARTICLES AND BODIES-OTHER IMPORTANT QUESTIONS & ANSWER (SHORT ANSWER QUESTIONS)
  1. Distinguish between centre of mass and centre of gravity.

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  2. Write an expression for Cartesian co-ordinates of the CM for uniform d...

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  3. Show that in the absence of any external force, the velocity of CM rem...

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  4. Does the radius of gyration depend upon the speed of rotation of the b...

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  5. Explain Right hand rule to find the direction of Torque.

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  6. Why a force is applied at right angles to the heavy door at the outer ...

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  7. List the points to be considered while calculating the torques on rigi...

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  8. Deduce the relation between torque and angular acceleration.

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  9. Can the couple acting on a rigid body produce translatory motion?

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  10. Define angular momentum.

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  11. Which physical quantities are expressed by the following? (i) moment...

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  12. List of condition on which angular momentum is zero.

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  13. Distinguish between translational and rotatinal equilibrium.

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  14. Inertia of the body depends on

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  15. Find the relation between power and torque.

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  16. What do you understand by the term precession?

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  17. Distinguish between internal and external forces.

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  18. Write the Cartesian co -ordinate (x,y,z) of the centre of mass for the...

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  19. Write the equation for the CM of two point masses when (i) Masses are ...

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  20. Distinguish between centre of mass and centre of gravity.

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