Home
Class 12
PHYSICS
Three point masses of 1kg, 2kg and 3kg l...

Three point masses of `1kg`, `2kg` and `3kg` lie at `(0,0)`, `(1,2)`, `(3,-1)` respectively. Calculate the coordinates of the centre of mass of the system.

Text Solution

Verified by Experts

`x_(cm)=(1xx0+2xx1+9)/(6)=(11)/(6)`
`y_(cm)=(1xx0+2xx2-1xx3)/(6)=(4-3)/(6)=(1)/(6)`
`(x_(cm),y_(cm))=((11)/(6),(1)/(6))`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|13 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE|Exercise Assignment (Section-D (Assertion and reason))|5 Videos

  • TEST 1

    AAKASH INSTITUTE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

Three point masses of 1 kg, 2kg and 3 kg lie at (1,2), (0,-1) and (2, -3) respectively. Calculate the co-ordinates of the centre of mass of the system.

Two bodies of masses 1 kg and 3 kg are lying in xy plane at (0, 0) and (2, -1) respectively. What are the coordinates of the centre of mass ?

Two bodies of masses 1 kg and 2 kg are located at (1,2) and (-1,3), respectively. Calculate the coordinates of center of mass.

Two bodies of masses 1kg and 2kg are lying in xy plane at (-1,2) and (2,4) respectively. What are the coordinates of the center of mass?

Three bodies of masses m, 2m and 3m are placed at the corners of a triangle having coordinates (1, 1.5), (2.5, 1.5) and (3, 3) respectively. Calculate the coordinates of the centre of mass.

The centres of three spherical masses of 1 kg, 2 kg and 3 kg have co-orinates (4,0) m,(0,3)m and (-2,5)m respectively. What is the position vector of its centre of mass is terms of its x and y co-ordinates?

Particles of masses 3 kg, 4 kg, 5 kg nd 2 kg are placed at points A(3,2), B(-2,2), C(-2,-3) and D(1,-2) respectively of a co-ordinate system. The centre of mass of the system is at

Two points masses of 2 kg and 3 kg lie at 5 m and 9 m away from origin O respectively. Find out the distance of centre of mass of these point masses from the origin.

Three masses of 2 kg, 4 kg and 4 kg are placed at the three points (1, 0, 0), (1, 1, 0) and (0, 1, 0) respectively. The position vector of its centre of massis

Four particles of mass 5,3,2,4 kg are at the points (1,6),(-1,5),(2,-3),(-1,-4) . Find the coordinates of their centre of mass.

AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. Three point masses of 1kg, 2kg and 3kg lie at (0,0), (1,2), (3,-1) res...

    Text Solution

    |

  2. Two bodies of masses 1kg and 3kg are lying in xy plane at (0,0) and (2...

    Text Solution

    |

  3. Three point masses of 1kg, 2kg and 3kg lie at (0,0), (1,2), (3,-1) res...

    Text Solution

    |

  4. Three particles of masses m,m and 4kg are kept at a verticals of trian...

    Text Solution

    |

  5. Three particles having their masses in the ratio 1 : 3 : 5 are kept at...

    Text Solution

    |

  6. Centre of mass of the system lies inside disc or square plate and why ...

    Text Solution

    |

  7. Two particles of equal mass are moving along the same line with the sa...

    Text Solution

    |

  8. Two particles of equal mass are moving along the same straight line wi...

    Text Solution

    |

  9. A shell following a parabolic path explodes somewhere in its flight. T...

    Text Solution

    |

  10. All the particles are situated at a distance R from the origin. The di...

    Text Solution

    |

  11. Will the velocity and acceleration of centre of mass change if particl...

    Text Solution

    |

  12. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

    Text Solution

    |

  13. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

    Text Solution

    |

  14. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

    Text Solution

    |

  15. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

    Text Solution

    |

  16. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

    Text Solution

    |

  17. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

    Text Solution

    |

  18. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

    Text Solution

    |

  19. What is the angular velocity of a particle lying on the axis of rotati...

    Text Solution

    |

  20. What is the angular acceleration of a particle moving with constant an...

    Text Solution

    |

  21. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

    Text Solution

    |