Home
Class 11
PHYSICS
Three rods of the same mass are placed a...

Three rods of the same mass are placed as shown in the figure. Calculate the coordinates of the centre of mass of the system.

Text Solution

Verified by Experts

The correct Answer is:
`((a)/(3),(a)/(3))`

`x_(cm) = ((M xx (a)/(2)) + (M xx 0) + (M xx (a)/(2)))/(M + M + M) = (a)/(3)`
`y_(cm) = ((M xx 0) + (M xx (a)/(2)) + (M xx (a)/(2)))/(M + M + M) = (a)/(3)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV B|14 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V A|20 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-III|42 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Three rods of the same mass are placed as shown in the figure. What will be the co-ordinates of the cneter of mass of the system ?

Six rods of the same mass m and length ? are arranged as shown in figure. Calculate the coordinate of the centre of mass of the system:- У >X

Calculate centre of mass of the system

Five masses are placed in a plane as shown in figure. The coordinates of the centre of mass are nearest to

A wire of uniform cross-section is bend in the shape shown in figure. The co-ordinate of the centre of mass of each side are shown in (figure). The co-ordinates of the centre of mass of the system are. .

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

The coordinate of the centre of mass of a system as shown in figure : -

The coordinate of the centre of mass of a system as shown in figure : -

ALLEN-CENTRE OF MASS-EXERCISE-IV A
  1. Four particles of masses m, 2m, 3m, 4m are placed at corners of a squa...

    Text Solution

    |

  2. A rigid body consists of a 3 kg mass connected to a 2 kg mass by a mas...

    Text Solution

    |

  3. Three rods of the same mass are placed as shown in the figure. Calcula...

    Text Solution

    |

  4. A carpenter has constructed a toy as shown in the figure. If the densi...

    Text Solution

    |

  5. Determine the centre of gravity of a thin homogeneous plate having the...

    Text Solution

    |

  6. A circular plate of uniform thickness has a diameter fo 56cm. A circul...

    Text Solution

    |

  7. The figure shows a square metal plate of side l from which a square pl...

    Text Solution

    |

  8. A thin sheet of metal of uniform thckness is cut into the shape bounde...

    Text Solution

    |

  9. In the figure shown, when the persons A and B exhange their position, ...

    Text Solution

    |

  10. 2 bodies m(1) & m(2) of mass 1 and 2 kg respectively are moving along ...

    Text Solution

    |

  11. A body of mass 1kg initially at rest explodes and breaks into threee f...

    Text Solution

    |

  12. Two bodies of same mass tied with an inelastic string of length l lie ...

    Text Solution

    |

  13. A man whose mass is m kg jumps vertically into air from a sitting posi...

    Text Solution

    |

  14. A uniform thin rod of mass m and length L is standing vertically along...

    Text Solution

    |

  15. A hemisphere of radius R and mass 4 m is free to slide with its base o...

    Text Solution

    |

  16. A ball of mass 100 gm is projected vertically upwards from the ground ...

    Text Solution

    |

  17. A block of mass M with a semicircualr of radius R, rests on a horizont...

    Text Solution

    |

  18. Two bodies A and B of masses m and 2 m respectively are placed on a sm...

    Text Solution

    |

  19. A sphere of mass m(1) in motion hits directly another sphere of mass m...

    Text Solution

    |

  20. A simple pendalum is suspended from a peg on a verticle wall . The pen...

    Text Solution

    |