Home
Class 12
PHYSICS
A small cube of mass m slides down a cir...

A small cube of mass m slides down a circular path of radius R cut into a large block of mass M. M rests on a table and both blocks move without friction. The blocks initially are at rest and m starts from the top of the path. Find the velocity v of the cube as it leaves the block.

Text Solution

Verified by Experts

The correct Answer is:
`v=sqrt((2gR)/(1+m/M))`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 3 Level-II|16 Videos
  • CENTRE OF MASS

    MOTION|Exercise Exercise - 4 Level-I|18 Videos
  • CENTRE OF MASS

    MOTION|Exercise Exercise - 2 (Level-II)|28 Videos
  • Capacitance

    MOTION|Exercise EXERCISE -4 LEVEL II|19 Videos
  • CIRCULAR MOTION

    MOTION|Exercise EXERCISE - 4|16 Videos

Similar Questions

Explore conceptually related problems

A small cube of mass m slides down a circular path of radius R cut into a large block of mass M, as shown in figure. M rests on a table, and both blocks move without friction. The blocks are initially at rest, and m starts from the top of the path. Find the horizontal distance from the bottom of block where cube hits the cable

A block of mass m slides down a smooth vertical circular track. During the motion, the block is in

A block of mass m slides down a smooth vertical circular track. During the motion, the block is in:

The block of mass m is at rest. Find the tension in the string A .

A block of mass m moving at speed upsilon collides wilth another block of mass 2 m at rest. The lighter block comes to rest after the collision. Find the coefficient of restitution.

A block of mass M with a semi - circular track of radius R rests on a smooth floor. A sphere of mass m and radius r is released from rest from A . Find the velocity of sphere and track , when the sphere reaches B .

A block of mass m moves on a horizontal rough surface with initial velocity v . The height of the centre of mass of the block is h from the surface. Consider a point A on the surface.

A block of mass m is kept on a horizontal table. If the static friction coefficient is mu ., find the frictional force acting on the block.

A block of mass m is placed at rest on an inclination theta to the horizontal.If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

MOTION-CENTRE OF MASS-Exercise - 3 Level-I
  1. In the figure shown, when the persons A and B exchange their positions...

    Text Solution

    |

  2. In the arrangement shown in Figure, mA=2kg and mB=1kg. String is light...

    Text Solution

    |

  3. A small cube of mass m slides down a circular path of radius R cut int...

    Text Solution

    |

  4. A (trolley + child) of total mass 200 kg is moving with a uniform spee...

    Text Solution

    |

  5. A ball B is suspended from a string of length l attached to a cart A, ...

    Text Solution

    |

  6. A ball B is suspended from a string of length l attached to a cart A, ...

    Text Solution

    |

  7. A wedge of mass M = 2m rests on a smooth horizontal plane. A small blo...

    Text Solution

    |

  8. A small sphere of radius r = 2cm and mass ‘m’ is placed on a big spher...

    Text Solution

    |

  9. In the figure shown the spring is compressed by 'x(0)' and released . ...

    Text Solution

    |

  10. In the figure shown the spring is compressed by 'x(0)' and released . ...

    Text Solution

    |

  11. 2 mass of block 2 kg & 4 kg are attached to a stiffness spring 100 N/m...

    Text Solution

    |

  12. The figure showns the force versus time graph for a particle. Find t...

    Text Solution

    |

  13. The figure showns the force versus time graph for a particle. Find t...

    Text Solution

    |

  14. A force F acts on an object (mass=1 kg) which is initially at rest as ...

    Text Solution

    |

  15. A man hosing down his driveway hits the wall by mistake. Knowing that ...

    Text Solution

    |

  16. A bullet of mass m strikes an obstruction and deviates off at 60° to i...

    Text Solution

    |

  17. A neutron intially at rest, decays into a proton, an electron and an a...

    Text Solution

    |

  18. A neutron initially at rest, decays into a proton, an electron and an ...

    Text Solution

    |

  19. A steel ball of mass 0.5 kg is dropped from a height of 4 m on to a ho...

    Text Solution

    |

  20. A steel ball of mass 0.5 kg is dropped from a height of 4 m on to a ho...

    Text Solution

    |