Home
Class 11
PHYSICS
If vecR is the position vector of the ce...

If `vecR` is the position vector of the centre of mass, then express the same in terms of product 'mr' of all the particles and mass M of the rigid body.

Text Solution

Verified by Experts

`vecR=(summ_ivecr_i)/(M)` Where `vecr_i=x_ihati+y_ihatj+z_ihatk` and `vecR_(CM)=xhati+yhatj+zhatk`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|11 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTION WITH ANSWERS|17 Videos
  • SUPER MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise QUESTION PAPER -2 (FOR PRACTICE) (PART-D)|10 Videos
  • THERMAL PROPERTIES OF MATTER

    SUBHASH PUBLICATION|Exercise FOUR MARKS QUESTIONS AND ANSWERS|22 Videos

Similar Questions

Explore conceptually related problems

Give the expression for the centre of mass of a system of particles along any one axis.

Express the position vector of centre of mass of a right body for a continuous distribution of mass particles.

Does the centre of mass of a body necessarily be inside the body ?

Give the expression for the angular frequency in terms of force constant and mass of the particle executing SHM.

Write an expression for position vector of centre of mass system of two paraticles lie on x-axis.

If the position vector of the i^(th) particle is x_1=x_i+y_ihatj+zhatk , then represent the centre of mass of such a system.

How does centre of mass of a system of particles move ?

What is centre of mass of a body ? Obtain an expression for the positive vector of a centre of mass of two particle system.

If the centre of mass lies at the origin of the frame of refrence then what is the magnitude of position vector of the centre of mass of the system ?

Write the expression for the energy of a particle of mass 'm', orbiting round a massive body M.

SUBHASH PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-NUMERICAL WITH SOLUTIONS
  1. If vecR is the position vector of the centre of mass, then express the...

    Text Solution

    |

  2. A non-uniform bar of weight 'w' is suspended at rest by two strings of...

    Text Solution

    |

  3. A solid sphere of mass 2kg is rolling down an inclined plane of angle...

    Text Solution

    |

  4. If the Earth were to suddenly contact to half its present radius, by h...

    Text Solution

    |

  5. If a force of vecF=-3veci+vecj+5veck acts at a point vecr=7veci+3vecj+...

    Text Solution

    |

  6. The maximum and minimum distance of a comet from the sun are 1.4xx10^(...

    Text Solution

    |

  7. Calculate the angular speed of rotation of the Earth

    Text Solution

    |

  8. Calculate the angular speeds of the second, minute and hour hands of a...

    Text Solution

    |

  9. Four spheres each of diameter 0.02m and 0.10 kg are placed with their ...

    Text Solution

    |

  10. A flywheel initially rotating at 120 rpm retards and its angular speed...

    Text Solution

    |

  11. A uniform solid rod of mass 40kg and length 10m rests against a vertic...

    Text Solution

    |

  12. An oxygen molecule has a mass of 5.30xx10^(-26) kg and a moment of ine...

    Text Solution

    |

  13. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  14. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  15. A solid rolls down two different inclined planes of the same heights b...

    Text Solution

    |

  16. A solid rolls down two different inclined planes of the same heights b...

    Text Solution

    |

  17. A solid rolls down two different inclined planes of the same heights b...

    Text Solution

    |

  18. A rope of negligible mass is wound round a hollow cylinder of mass 5 k...

    Text Solution

    |

  19. A car weighs 1800kg. The distance between its front and back axles is ...

    Text Solution

    |

  20. A metre stick is balanced on knife edge at its centre . When two coins...

    Text Solution

    |

  21. In the HCl molecule, the separation between the nuclei of the two atom...

    Text Solution

    |