Home
Class 11
PHYSICS
Particles of masses 100 and 300 gram hav...

Particles of masses 100 and 300 gram have position vectors `(2hat(i)+5hat(j)+13hat(k))` and `(-6hat(i)+4hat(j)+2hat(k))`. Position vector of their centre of mass is

A

`-(16)/(4)hat(i)+(17)/(4)hat(j)+(7)/(4)hat(k)`

B

`(20)/(4)hat(i)+(17)/(4)hat(j)+(7)/(4)hat(k)`

C

`-(16)/(4)hat(i)+(17)/(4)hat(j)+(19)/(4)hat(k)`

D

`-(16)/(4)hat(i)+(13)/(4)hat(j)+(19)/(4)hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 3|61 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE-I (Centre of Mass)|40 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 1B|51 Videos
  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions|2 Videos

Similar Questions

Explore conceptually related problems

The angle between vec(A) = hat(i) = 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k) is

Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is

If vec(A) = 7hat(i) + 2hat(j) - 3hat(k) and vec(B) = hat(i) + hat(j) + 2chat(k) are perpendicular vectors, the value of c is

If vec(F) = hat(i) + 2hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) + 7hat(k) find vec(F).vec(V)

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE - 2
  1. Centre of mass of two particle with masses 2 kg and 1 kg locsted at (1...

    Text Solution

    |

  2. Particles of masses 100 and 300 gram have position vectors (2hat(i)+5h...

    Text Solution

    |

  3. The distance between the centres of carbon and oxygen atoms in the car...

    Text Solution

    |

  4. The co - ordinates of centre of mass of particle of mass 10, 20 and 30...

    Text Solution

    |

  5. Two particles of masses 4 kg and 6 kg are at rest separated by 20 m. I...

    Text Solution

    |

  6. One end of a thin uniform rod of length L and mass M(1) is rivetted to...

    Text Solution

    |

  7. A ball of mass 3M rolls from rest on a smooth flat table towards anoth...

    Text Solution

    |

  8. Three particles of masses 1 kg, 2 kg and 3 kg are placed at the vertic...

    Text Solution

    |

  9. Three particle each of 1kg mass are placed at corners of a right angle...

    Text Solution

    |

  10. Four particles of masses 2,2,4,4 kg are arranged at the corners A,B,C,...

    Text Solution

    |

  11. Two uniform rods A and B of lengths 5 m and 3m are placed end to end. ...

    Text Solution

    |

  12. A uniform disc of radius R is put over another uniform disc of radius ...

    Text Solution

    |

  13. A system consists of two identical particles one particle is at rest a...

    Text Solution

    |

  14. Three identical spheres each of radius .R. are placed touching each ot...

    Text Solution

    |

  15. The velocities of three particles of masses 20 g, 30 g and 50 g are 10...

    Text Solution

    |

  16. A thin uniform rod of length L is bent at its mid point as shown in th...

    Text Solution

    |

  17. Particles of masses m, 2m, 3m, …….. nm grams are placed on the same li...

    Text Solution

    |

  18. Four particles, each of mass 1kg, are placed at the corneres of a squa...

    Text Solution

    |

  19. Thre identical masses are kept at the corners of an equilateral triang...

    Text Solution

    |

  20. Three particles of masses 8 kg, 4 kg and 4 kg situated at (4,1), (-2,2...

    Text Solution

    |