Home
Class 11
PHYSICS
Two blocks of msses 10 kg and 30 kg are ...

Two blocks of msses 10 kg and 30 kg are placed along a vertical line. The first block is raised through a height of 7 cm. By what distance should the second mass be moved to raise the centre of mass by 1 cm?

A

2 cm upward

B

1 cm upward

C

2cm downward

D

1 cm downward

Text Solution

Verified by Experts

The correct Answer is:
D

`y_(CM) = (m_(1)y_(1) + m_(2)y_(2))/(m_(1) + m_(2))`
or `+1= ((10)(7) + (30)y_(2))/(10 + 30)`
`therefore y_(2) = -1cm`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    DC PANDEY|Exercise Assertion and reason|21 Videos
  • CENTRE OF MASS

    DC PANDEY|Exercise Match the coloumns|9 Videos
  • CENTRE OF MASS

    DC PANDEY|Exercise Check points|50 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

Two blocks of masses 10kg and 30kg are placed on X-axis. The first mass is moved on the axis by a distance of 2cm right. By what distance should the second mass be moved to keep the position of centre of mass unchanged.

Two bocks of masses 10 g and 20 kg are plced on the X-axis. The first mass is moved on the axis by a distance of 2 cm. By what distance should the second mass be moved to keep the position of the centre of mass unchanged?

Two particles of mass 2 kg and 4 kg lie on the same line. If 4 kg is displaced rightwards by 5m then by what distance 2 kg should be move for which centre of mass will remain at the same position

Initially spring is in its natural length . The block of mass 3 kg in contact with rigid wall . The block of mass 1 kg is pushed through a distance 4 cm towards the wall and then released. The velocity of the center of mass when the block of mass 3 kg breaks off the wall is (k = 100 N//m)

Two partcles of masses 1 kg and 2 kg are placed at a distance of 3 m. Moment of inertia of the particles about an axis passing through their centre of mass and perpedicular to the line joining them is (in kg-m^(2))

Three particles of masses 0.5 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right angled triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system.

An object of mass 1kg is raised through a height h. Its potentil energy increases by 1J. Find the height h.

DC PANDEY-CENTRE OF MASS-Taking it together
  1. In a gravity free space, man of mass M standing at a height h above th...

    Text Solution

    |

  2. A ball falls freely from a height of 45m. When the ball is at a height...

    Text Solution

    |

  3. Two blocks of msses 10 kg and 30 kg are placed along a vertical line....

    Text Solution

    |

  4. In a free space a rifle on mass M shoots a bullet of mass m at a stati...

    Text Solution

    |

  5. A cracker is thrown into air with a velocity of 10 m//s at an angle of...

    Text Solution

    |

  6. A 2 kg block of wood rests on a long table top. A 5 g bullet moving ho...

    Text Solution

    |

  7. If kinetic energy of a body is increased by 300%, then percentage chan...

    Text Solution

    |

  8. If the linear momentum is increased by 50%, then KE will be increased...

    Text Solution

    |

  9. If the kinetic energy of a body increases by 0.1 % the percent increas...

    Text Solution

    |

  10. A bullet moving with a speed of 100 ms^(-1) can just penetrate into tw...

    Text Solution

    |

  11. A ball is projected vertically down with an initial velocity from a h...

    Text Solution

    |

  12. A ball of mass mis released from the top of an inclined plane of incl...

    Text Solution

    |

  13. Two identical blocks A and B , each of mass m resting on smooth floor ...

    Text Solution

    |

  14. A man of mass M stands at one end of a stationary plank of length L, l...

    Text Solution

    |

  15. A man of mass m moves with a constant speed on a plank of mass M and l...

    Text Solution

    |

  16. At high altitude , a body explodes at rest into two equal fragments wi...

    Text Solution

    |

  17. A particle A of mass m initially at rest slides down a height of 1.25 ...

    Text Solution

    |

  18. A pendulum consists of a wooden bob of mass m and length l. A bullet o...

    Text Solution

    |

  19. Two blocks of mass m and 2m are kept on a smooth horizontal surface. T...

    Text Solution

    |

  20. Three identical blocks A, B and C are placed on horizontal frictionles...

    Text Solution

    |