Home
Class 11
PHYSICS
In the arrangement shown in Figure, mA=2...

In the arrangement shown in Figure, `m_A=2kg` and `m_B=1kg`. String is light and inextensible. Find the acceleration of centre of mass of both the blocks. Neglect friction everywhere.

Text Solution

Verified by Experts

Net pulling force on the system is `(m_(A) - m_(B)g`
or `(2-1)g = g`

Total mass being pulled is `m_(A) + m_(B)` or 3 kg
`therefore` `a=("Net pulling force")/("Total mass")` = g/3
Now, `a_(CM) = (m_(A)a_(A) + m_(B)a_(B))/(m_(A) + m_(B)`
`=(2(a)-1(a))/(1+2)=a/3 = g/3` (downwards)
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

In the arrangment shown in figure, m_(A) =1 kg, m_(B) =4 kg. String is light and inextensible while pulley is smooth. Coefficient of friction between block A and the table is mu =0.2. Find the speed of both the blocks when block B has descended a height h=1 m. (Take ,g=10 ms^(-2) )

In the arrangement shown, the pulleys are smooth and the strings are inextensible. The acceleration of block B is :

In the arrangement shown in figure, string is light and inextensible and friction is absent every where. The speed of bothblocks after the block 'A' has ascend a height of 1m will be (g=10 m//s^(2))

Two blocks of equal mass are tied with a light string, which passes over a massless pulley as shown in figure. The magnitude of acceleration of centre of mass of both the blocks is : (neglect friction everywhere)

Two blocks A and B are arranged as shown in figure.The pulleys are light and frictionless.The strings are light and inextensible.If the acceleration of the block B is 3m/s^(2) ,then the acceleration of the block A is __________ m/s^(2)

In the arrangement shown in figure, m_A = m_B = 2kg. String is massless and pulley is frictionless. Block B is resting on a smooth horizontal surface, while friction coefficient beteen block A and B is mu=0.5 . the Maximum horizontal force F that can be applied so that block A does not slip over block B is.

In the arrangement shown in figure m_(1)=1kg, m_(2)=2kg , pullyes are massless and strings are light. For what value of M the mass m_(1) moves with constant velocity? (Neglect friction)

In the arrangement shown in figure. The strings are light and inextensible. The surface over which block are placed is smooth.Find (a) the acceleration of each block, (b) the tension in each string.

In the arrangement shown in figure pulley P can move whereas other two pulleys are fixed. All of them are light. String is light and inextensible. The coefficient of friction between 2 kg and 3 kg block is mu = 0.75 and that between 3 kg block and the table is mu = 0.5 . The system is released from rest (i) Find maximum value of mass M, so that the system does not move. Find friction force between 2 kg and 3 kg blocks in this case. (ii) If M = 4 kg, find the tension in the string attached to 2 kg block. (iii) If M = 4 kg and mu_(1) = 0.9 , find friction force between the two blocks, and acceleration of M. (iv) Find acceleration of M if m_(1) = 0.75, m_(2) = -0.9 and M = 4 kg.

In terms of masses m_(1),m_(2) and g, find the acceleration of both the blocks shown in Fig. Neglect all friction and masses of the pulley.

DC PANDEY-CENTRE OF MASS-Medical entrances gallery
  1. In the arrangement shown in Figure, mA=2kg and mB=1kg. String is light...

    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

    |