Home
Class 11
PHYSICS
A particle of mass 2m is connected by an...

A particle of mass `2m` is connected by an inextensible string of length `1.2 m` to a ring of mass m which is free to slide on a horizontal smooth rod. Initially the ring and the particle are at the same level with the string taut. Both are then released simultaneously. The distance in meter moved by the ring when the string becomes veritcal is :-

A

0

B

`0.4`

C

`0.8`

D

`1.2`

Text Solution

Verified by Experts

The correct Answer is:
C

`Deltabar(x) = (m_(1).Deltax_(1) + m_(2).Deltax_(2))/(m_(1) + m_(2))`
Let `x =` distance moved by ring
`0 = (mx + 2m(1.2 - x))/(m + 2m) rArr x = 0.8 m`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-II|43 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-III|42 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 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

Two particles of a mass 2m and m are tied with an inextensible string the particle of mass m is given a speed V as shown in the figure. Find the speed with which the particle of mass 2m starts moving.

A pillar having square cross section of side length L is fixed on a smooth floor. A particle of mass m is connected to a corner A of the pillar using an inextensible string of length 3.5 L. With the string just taut along the line BA, the particle is given a velocity v perpendicular to the string. The particle slides on the smooth floor and the string wraps around the pillar. (a) Find the time in which the particle will hit the pillar. (b) Find the tension in the string just before the particle hits the pillar. Neglect any energy loss of the particle.

Two particles each of mass m are connected by a light inextensible string and a particle of mass M is attached to the midpoint of the string. The system is at rest on a smooth horizontal table with string just taut and in a straight line. The particle M is given a velocity v along the table perpendicular to the string. Prove that when the two particles are about to collide : (i) The velocity of M is (Mv)/((M + 2m)) (ii) The speed of each of the other particles is ((sqrt2M (M + m))/((M + 2m)))v .

A uniform rod of mass m and length 2L on a smooth horizontal surface. A particle of mass m is connected to a string of length L whose other end is connected to the end ‘A’ of the rod. Initially the string is held taut perpendicular to the rod and the particle is given a velocity v_(0) parallel to the initial position of the rod. (a) Calculate the acceleration of the centre of the rod immediately after the particle is projected. (b) The particle strikes the centre of the rod and sticks to it. Calculate the angular speed of the rod after this.

Two particles of mass m and 2m are connected by a string of length L and placed at rest over a smooth horizontal surface. The particles are then given velocities as indicated in the figure shown. The tension developed in the string will be

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two small rings each of mass ‘m’ are connected to a block of same mass ‘m’ through inextensible light strings. Rings are constrained to move along a smooth horizontal rod. Initially system is held at rest (as shown in figure) with the strings just taut. Length of each string is ‘l’. The system is released from the position shown. Find the speed of the block (v) and speed of the rings (u) when the strings make an angle of theta=60^(@) with vertical. (Take g = 10 m//s^2 )

A mass m connected to inextensible string of length l lie on a horizontal smooth ground. Other end of string is fixed. Mass m is imparted a velocity v such that string remains taut & motion occurs in horizontal providely stirng during the time string turns through 90^(@)

A particle of mass m is tied to a string of length L and whirled into a horizontal plan. If tension in the string is T then the speed of the particle will be :

A particle of mass m is attached to the celling of a cabin with an inextensible light string of length l . The cabin is moving upward with an acceleration a . The particle is taken to a position such that string makes an angle theta with vertical. When string becomes vertical, find the tension in the string.

ALLEN-CENTRE OF MASS-EXERCISE-I
  1. A strange cat with a mass m(c ) is sitting at rest on the left sled of...

    Text Solution

    |

  2. The figure shows the positions and velocity of two particle. If the pa...

    Text Solution

    |

  3. A particle of mass 2m is connected by an inextensible string of length...

    Text Solution

    |

  4. A ball of mass 1 kg drops vertically on to the floor wit a speed of 25...

    Text Solution

    |

  5. A particle of mass m is made to move with uniform speed v(0) along the...

    Text Solution

    |

  6. Two balls of same mass are dropped from the same height h, on to the f...

    Text Solution

    |

  7. An impulse vrc(I) changes the velocity of a particle from vec(v)(1) to...

    Text Solution

    |

  8. A particle of mass 4 m which is at rest explodes into masses m, m & 2m...

    Text Solution

    |

  9. Two blocks A(3 kg) and B(2 kg) resting on a smooth horizontal surface ...

    Text Solution

    |

  10. A cannon of mass 5m (including a shell of mass m) is at rest on a smoo...

    Text Solution

    |

  11. A shell is fired from a cannon with a velocity v (m//sec.) at an angle...

    Text Solution

    |

  12. A ball hits the floor and rebounds after an inelastic collision. In th...

    Text Solution

    |

  13. Three balls A, B and C are placed on a smooth horizontal surface. Give...

    Text Solution

    |

  14. A body of mass 1 kg strikes elastically with another body at rest and ...

    Text Solution

    |

  15. A small bucket of mass M kg is attached to a lone inextensible cord of...

    Text Solution

    |

  16. In the figure shown, a particle P strikes the inclined smooth plane ho...

    Text Solution

    |

  17. A ball of mass 2m impinges directly on a ball of mass m, which is at r...

    Text Solution

    |

  18. A body of mass 2 kg is projected upward from the surface of the ground...

    Text Solution

    |

  19. A ball of mass 1 kg strink a heavy platform, elastically, moving upwar...

    Text Solution

    |

  20. Two particles of mass m, constrained to move along the circumference o...

    Text Solution

    |