Home
Class 11
PHYSICS
Two bodies of masses 1 kg and 2 kg are l...

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.

Text Solution

AI Generated Solution

To calculate the coordinates of the center of mass for two bodies with given masses and positions, we can follow these steps: ### Step 1: Identify the Given Data We have two bodies: - Mass \( m_1 = 1 \, \text{kg} \) located at point \( (x_1, y_1) = (1, 2) \) - Mass \( m_2 = 2 \, \text{kg} \) located at point \( (x_2, y_2) = (-1, 3) \) ### Step 2: Calculate the X-Coordinate of the Center of Mass ...
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    DC PANDEY|Exercise Check points|50 Videos
  • CENTRE OF MASS

    DC PANDEY|Exercise Taking it together|73 Videos
  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY|Exercise Medical entrance s gallery|38 Videos
  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY|Exercise Comprehension type questions|15 Videos

Similar Questions

Explore conceptually related problems

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?

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 ?

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.

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 1kg and 3kg are lying in xy plane at (0,0) and (2,-1) respectively. What are the coordinates of the centre of mass ? Hint. x_(cm)=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+x_(2)) , y_(cm)=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))

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.

Two bodies of masses 5kg and 3kg are moving towards each other with 2ms^(-1) and 4ms^(-1) respectively. Then velocity of centre of mass is

Centre of mass of two particles with masses 1kg and 2kg located at (2,0,2) and (1,1,0) has the co-ordinates of ?

The coordinates of a triangle ABC are A(1,2) , B(4,6) and C(-3,-2) . Three particles of masses 1kg , 2kg and m kg are placed the vertices of the triangle. If the coordinate of the centre of mass are ((3)/(5),2) , calculate the mass m .

DC PANDEY-CENTRE OF MASS-Medical entrances gallery
  1. Two bodies of masses 1 kg and 2 kg are located at (1,2) and (-1,3), r...

    Text Solution

    |

  2. A rod of weight w is supported by two parallel knife edges A and B an...

    Text Solution

    |

  3. Two particles of masses m(1),m(2) move with initial velocities u(1) an...

    Text Solution

    |

  4. The figure shows a smooth curved track terminating in a smooth horizon...

    Text Solution

    |

  5. A block having mass m collides with an another stationary block having...

    Text Solution

    |

  6. A smooth curved surface of height 10 m is ended horizontally. A spring...

    Text Solution

    |

  7. A frog sits on the end of a long board of length L = 5 m. The board re...

    Text Solution

    |

  8. A particle of mass m, collides with another stationary particle of mas...

    Text Solution

    |

  9. A body from height h is dropped, if the coefficient of restitution is ...

    Text Solution

    |

  10. Three particles of masses 0.50 kg, 1.0 kg and are placed at the corner...

    Text Solution

    |

  11. A large number of particles are placed around the origin, each at a di...

    Text Solution

    |

  12. A circular disc rolls on a horizontal floor without slipping and the c...

    Text Solution

    |

  13. The linear momentum of a particle varies with time t as p= a +bt + ct^...

    Text Solution

    |

  14. A body of mass (4m) is laying in xy-plane at rest. It suddenly explode...

    Text Solution

    |

  15. The position of center of mass of a system of particles does not depen...

    Text Solution

    |

  16. A bullet is fired from the gun. The gun recoils, the kinetic energy of...

    Text Solution

    |

  17. An explosion blows a rock into three parts. Two parts go off at right ...

    Text Solution

    |

  18. The linear momentum is conserved in

    Text Solution

    |

  19. Three particles , each of mass m, are placed at the vertices of a righ...

    Text Solution

    |

  20. A ball of mass 'm' moving with a horizontal velocity 'v' strikes the b...

    Text Solution

    |

  21. In an inelastic collision

    Text Solution

    |