Home
Class 11
PHYSICS
Consider a two particle system with part...

Consider a two particle system with particles having masses `m_(1)andm_(2)`. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

A

`(m_(2))/(m_(1)) d`

B

`(m_(1))/(m_(1) + m_(2)) d`

C

`(m_(1))/(m_(2)) d`

D

d

Text Solution

Verified by Experts

The correct Answer is:
C


Here `m_(1)d = m_(2)x rArr x = (m_(1))/(m_(2))d`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos
  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-IV B|14 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

Considering a system having two masses m_(1) and m_(2) in which first mass is pushed towards centre of mass by a distance a, the distance required to be moved for second mass to keep centre of mass at same position is :-

Write the expression of centre of mass of a system of .n. particles and derive the formula of force acting on its centre of mass.

Mention the centre of mass of three particles which are not in line but have equal masses.

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) .

If the center of mass of a system of three particles of masses 1kg,2kg,3kg is at the point (1m,2m,3m) and center of mass of another group of two partices of masses 2kg and 3kg is at point (-1m,3m,-2m) . Where a 5kg particle should be placed, so that center of mass of the system of all these six particles shifts to the center of mass of the first system?

A light rod of length l has two masses m_(1)andm_(2) attached to its two ends. The moment of inertia of the system about and axis perpendicular to the rod and passing through the centre of mass is ………

Two point masses m_(1) and m_(2) at rest in gravity free space are released from distance d. Find the velocity of the CM of the system at the time of collision of particles

.Does the velocity of all particles of a system is equal to the velocity of centre of mass?..

A particle of mass M at rest decays into two particles of masses m_(1) and m_(2) having non-zero velocities. The ratio of the de Broglie wavelengths of the particles 1 and 2 is

ALLEN -CENTRE OF MASS-EXERCISE-V A
  1. Two identical particles move towards each other with velocity 2v and v...

    Text Solution

    |

  2. Consider the following two statements: A. Linear momentum of a syste...

    Text Solution

    |

  3. Two spherical bodies of mass M and 5M & radii R and 2R respectively, a...

    Text Solution

    |

  4. A body A of mass M while falling wertically downwards under gravity br...

    Text Solution

    |

  5. The block of mass M moving on the frictionless horizontal surface col...

    Text Solution

    |

  6. A mass 'm' moves with a velocity 'v' and collides inelastieally with a...

    Text Solution

    |

  7. A 'T' shaped object with dimensions shown in the figure, is lying on a...

    Text Solution

    |

  8. A bomb of mass 16kg at rest explodes into two pieces of masses 4 kg an...

    Text Solution

    |

  9. Consider a two particle system with particles having masses m(1)andm(2...

    Text Solution

    |

  10. A circular disc of radius R is removed from a bigger circular disc of ...

    Text Solution

    |

  11. A block of mass 0.50kg is moving with a speed of 2.00m//s on a smooth ...

    Text Solution

    |

  12. A thin rod of length 6 m is lying along the x-axis with its ends at x=...

    Text Solution

    |

  13. Consider a rubber ball freely falling from a height h = 4.9 m onto a ...

    Text Solution

    |

  14. Statement -1: Two particles moving in the same direction do not lose a...

    Text Solution

    |

  15. This question has statement -I and statement - II of the four choices...

    Text Solution

    |

  16. Distance of the centre of mass of a solid uniform cone from its vertex...

    Text Solution

    |

  17. A particle of mass m moving in the x - direction with speed 2c is hit...

    Text Solution

    |

  18. A uniform thin rod AB of length L has linear mass density mu(x) = a + ...

    Text Solution

    |

  19. A large number (n) of identical beads, each of mass m and radius r are...

    Text Solution

    |

  20. In the figure shown ABC is a uniform wire. If centre of mass of wire l...

    Text Solution

    |