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If a large number of particles are distr...

If a large number of particles are distributed on `YZ` plane and their centre of mass is at origin of coordinates, then

A

Sum of moments of masses of all particles about the origin is zero

B

Sum of momentum of masses of all particles w.r.t. the origin is zero

C

Sum of moments of masses of all particles about `Y` axis is zero.

D

Sum of moments of masses of all particles about `Z` axis is zero.

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A large number of particles are placed around the origin, each at a distance R from the origin. The distance of the center of mass of the system from the origin is

    A
    `=R`
    B
    `leR`
    C
    `gtR`
    D
    `geR`

  • Consider a collection of a large number of particles each with speed v in a plane.The direction of velocity is randomly distributed in the collection.The magnitude of the average relative velocity of a particle with velocities of all other particles is

    A
    `gtv`
    B
    `ltv`
    C
    `=v`
    D
    none of these
    • AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - C) Objective Type Questions (More than one option are correct)
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    2. A system of particles is acted upon by a constant nonzero external for...

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    3. Select the correct alternative. When there is no external force acting...

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    4. A uniform stick of mass M and length L is kept vertical on a frictionl...

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    5. When a bullet is fired from a gun

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    9. Two projectiles collide in air, then for just after and before the col...

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    10. Two particles A and B of masses 2kg and 3kg moving on a smooth horizon...

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    11. A particle strikes a smooth horizontal surface at an angle theta gt 0 ...

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    12. A girl throws the ball with horizontal velocity 2m//s at the moment t=...

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    13. A fan is switched on and it accelerates at a constant angular accelera...

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    14. A block of mass m is connected to another block of mass M by a massles...

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    15. A disc of mass M and radius R as shown in figure has some points on it...

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    16. A rod of mass m and length L is pivoted at the bottommost point O and ...

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    17. A rod of mass m and length L is pivoted at a point O and kept in horiz...

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    18. A horizontal rod of mass M and length L is tied to two verticle string...

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    20. A disc of given some velocity up the incline so that it goes up, stops...

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