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Does centre of mass of a system of two p...

Does centre of mass of a system of two particles lie on the line joining the particles ?

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Yes, always.
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Statement-1 : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. Statement-2 : Product of mass of one particle and its distance from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

Choose the wrong statements about the centre of mass (CM) of a system of two particles The CM lies on the line joining the two particles midway between them The CM lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle The CM is on the line joining them at a point whose distance from each particle is proportional to the mass of that particl The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle

Two particles of masses 5 gm and 10 gm are 12 cm apart. What will be the location of the centre of mass of the system of these two particles from the lighter particle is ?

Prove that the centre of mass of two particle divides the line joining the particles in the inverse ratio of their masses.

The centre of mass of a system of particle is at the origin the number of particle to the left

The motion of the centre of mass of a system of two particles is unaffected by their internal forces.

The center of mass of a system of two particles divides the distance between them.

The centre of mass of a system of particles is at the origin. It follows that

PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-VERY SHORT ANSWER QUESTIONS
  1. If one of the particles is heavier than mass other, to which side will...

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  2. Does centre of mass of a system of two particles lie on the line joini...

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  3. Can centre of mass of a body lie where there is absolutely no mass ?

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  4. Can centre of mass of a body coincide with geometrical centre of the ...

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  5. Does centre of mass of a rigid body lie always on the body ?

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  6. On what factors does the position of cm of a rigid body depend ?

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  7. Find the centre of mass of a uniform triangula lamina.

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  8. Determine the coordinates of the centre of mass of a right circular so...

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  9. What is nature of motion of cm of an isolated system ?

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  10. Find the centre of mass of a uniform triangula lamina.

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  11. What is an isolated system ?

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  12. Name the rotational analouge of force. What ar its units ?

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  13. Write an expression for torque. Which rule is used for finding its dir...

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  14. Write the dimensional formula of angular momentum. Is it scalar or vec...

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  15. Name the physical quantity whose dimensions are same as that of angula...

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  16. Which physical quantity is conserved when a planet revolves around the...

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  17. What is angular velocity of earth spinning around its own axis ?

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  18. Moment of inertia of a hollow cylinder of mass M and radius R, about t...

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  19. What is moment of inertia of a solid cylinder of mass m, length l and ...

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  20. What is radius of gyration of a soild sphere of mass m and radius r ab...

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