Home
Class 11
PHYSICS
.Does the velocity of all particles of a...

.Does the velocity of all particles of a system is equal to the velocity of centre of mass?..

Text Solution

Verified by Experts

No.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-D NCERT EXEMPLAR SOLUTIONS|13 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-D NCERT EXEMPLAR SOLUTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|5 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-B NUMERICAL FROM .DARPAN. BASED ON TEXTBOOK|17 Videos

  • QUESTIONS ASKED IN JEE - 2020

    KUMAR PRAKASHAN|Exercise Question|16 Videos

  • THERMAL PROPERTIES OF MATTER

    KUMAR PRAKASHAN|Exercise Question Paper (Section - D) (Answer following in brief :) Each carry 4 marks|1 Videos

Similar Questions

Explore conceptually related problems

Show that the total momentum of system of particles is equal to the product of total mass of system and velocity of centre of mass.

What is the velocity of particle whose mass is double that of rest mass?

What should be the radius of a planet with mass equal to that of earth and escape velocity on its surface is equal to the velocity of light. Given that mass of earth is M=6xx10^(24)kg .

A ball of mass 2m impinges directly on a ball of mass m, which is at rest. If the velocity with which the larger ball impringes be equal to the velocity of the smaller mass after impact then the coefficient of restitution :-

Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is

If the total external forces on the system of particle is zero, then find the velocity and acceleration of its centre of mass.

Two identical particles moves towards each other with velocity 2v and v respectively. Two velocity of centre of mass is …………..

When an average velocity of a particle becomes its instantaneous velocity ?

Why do internal forces in a system do not effect the velocity of a system?

Separation of Motion of a system of particles into motion of the centre of mass and motion about the centre of mass : (a) Show p=p_(i).+m_(i)V where p_(i) is the momentum of the ith particle (of mass m_(i) ) and p_(i).=m_(i)v_(i). . Note v_(i). is the velocity of the i^(th) particle relative to the centre of mass Also, prove using the definition of the centre of mass Sigmap_(i).=0 (b) Show K=K.+(1)/(2)MV^(2) where K is the total kinetic energy of the system of particles, K. is the total kinetic energy of the system when the particle velocities are taken with respect to the centre of mass and (1)/(2)MV^(2) is the kinetic energy of the translation of the system as a whole (i.e. of the centre of mass motion of the system). The result has been used in Sec. 7.14). (c ) Show vecL=vecL.+vecRxxvec(MV) where vecL.=Sigmavec(r_(i)).xxvec(p_(i)). is the angular momentum of the system about the centre of mass with velocities taken relative to the centre of mass. Remember vec(r._(i))=vec(r_(i))-vecR , rest of the notation is the velcities taken relative to the centre of mass. Remember vec(r._(i))=vec(r_(i))-vecR rest of the notation is the standard notation used in the chapter. Note vecL , and vec(MR)xxvecV can be said to be angular momenta, respectively, about and of the centre of mass of the system of particles. (d) Show vec(dL.)/(dt)=sumvec(r_(i).)xxvec(dp.)/(dt) Further, show that vec(dL.)/(dt)=tau._(ext) where tau._(ext) is the sum of all external torques acting on the system about the centre of mass. (Hint : Use the definition of centre of mass and Newton.s Thrid Law. Assume the internal forces between any two particles act along the line joining the particles.)

KUMAR PRAKASHAN-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SECTION-C OBJECTIVE QUESTIONS (VSQs)
  1. Two young men going in double ride over a bike along a straight road, ...

    Text Solution

    |

  2. Write the difference between centre of gravity and centre of mass of a...

    Text Solution

    |

  3. .Does the velocity of all particles of a system is equal to the veloci...

    Text Solution

    |

  4. Why law of conservation of linear momentum is universal and fundamenta...

    Text Solution

    |

  5. Which two physical quantities remains constant in law of conservation ...

    Text Solution

    |

  6. On which factors centre of mass of rigid body depends?

    Text Solution

    |

  7. Write the kinetic energy of a body of momentum p and velocity v.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Give the rotational analogue of force.

    Text Solution

    |

  15. How will you determine the direction of torque?

    Text Solution

    |

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

    Text Solution

    |

  17. Give the formula for the moment of couple.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |