Home
Class 11
PHYSICS
Four particles of masses m, 2m, 3m, 4m a...

Four particles of masses `m, 2m, 3m, 4m` are placed at corners of a square of side 'a' as shown in fig. Find out coordinateds of centre of mass.

Text Solution

Verified by Experts

The correct Answer is:
`((a)/(2),(7a)/(10))`

`x_(cm) = ((m xx 0) + (2m xx a) + (3m xx a) + (4m xx 0))/(m + 2m + 3m + 4m)= (a)/(2)`
`y_(cm) = ((m xx 0) + (2m xx 0)+ (3m xx a) + (4m xx a))/(m + 2m + 3m + 4m) =(7a)/(10)`
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|41 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

Four particles having masses, m, 2m, 3m, and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

If four different masses m_1, m_2,m_3 and m_4 are placed at the four corners of a square of side a , the resultant gravitational force on a mass m kept at the centre is

The particles of mass m_(1),m_(2) and m_(3) are placed on the vertices of an equilateral triangle of sides .a.. Find the centre of mass of this system with respect to the position of particle of mass m_(1) .

Find the gravitational potential energy of a system of four particles, each of mass m placed at the verticles of a square of side l . Also obtain the gravitaitonal potential at centre of the square.

Particle of masses m, 2m,3m,…,nm grams are placed on the same line at distance l,2l,3l,…..,nl cm from a fixed point. The distance of centre of mass of the particles from the fixed point in centimeters is :

Four charges are arranged at the corners of a square ABCD of side d, as shown in Fig. 2.15.(a) Find the work required to put together this arrangement. (b) A charge q_(0) is brought to the centre E of the square, the four charges being held fixed at its corners. How much extra work is needed to do this?

Five uniform circular plates, each of diameter b and mass m are laid out in a pattern shown. Using the origin shown, find the y co-ordinate of the centre of mass of the five-plate system. .

Four bodies each of mass m are placed at the different corners of a square of side a. find the work done on the system to take any one budy to infinity.

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-

Four charges of 1mu C, 2mu C, 3mu C and -6 mu C are placed one at each corner of the square of side 1 m . The square lies in the x-y plane with its centre at the origin.The electric field at the centre

ALLEN -CENTRE OF MASS-EXERCISE-IV A
  1. Fig. shown a uniform square plate from identical squares at the corner...

    Text Solution

    |

  2. Four particles of masses m, 2m, 3m, 4m are placed at corners of a squa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 2 bodies m(1) & m(2) of mass 1 and 2 kg respectively are moving along ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |