Home
Class 11
PHYSICS
A ball of mass m and radius r rolls insi...

A ball of mass `m` and radius `r` rolls inside a hemispherical shell of radius `R`. It is released from rest from point `A` as shown in figure. The angular velocity of centre of the ball in position `B` about the centre of the shell is.
.

A

`sqrt((g)/(5(R-r)))`

B

`sqrt((10g)/(7(R-r)))`

C

`sqrt((2g)/(5(R-r)))`

D

`sqrt((5g)/(2(R-r)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    DC PANDEY ENGLISH|Exercise More than one option is correct|36 Videos
  • ROTATIONAL MOTION

    DC PANDEY ENGLISH|Exercise Comprehension Type Questions|40 Videos
  • ROTATIONAL MOTION

    DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Subjective Questions|2 Videos
  • SEMICONDUCTORS AND ELECTRONIC DEVICES

    DC PANDEY ENGLISH|Exercise More than One Option is Correct|3 Videos

Similar Questions

Explore conceptually related problems

A hemispherical cavity of radius R is created in a solid sphere of radius 2R as shown in the figure . They y -coordinate of the centre of mass of the remaining sphere is

A thin spherical shell of total mass M and radius R is held fixed. There is a small hole in the shell. A mass m is released from rest a distance R from the hole along a line that passes through the hole and also through the centre of the shell. This mass subsequently moves under the gravitational force of the shell. How long does the mass take to travel from the hole to the point diametrically opposite.

A small block of mass m is released from rest from position A inside a smooth hemispherical bowl of radius R as shown in figure Choose the wrong option.

A point charge Q is placed inside a conducting spherical shell of inner radius 3R and outer radius 5R at a distance R from the centre of the shell. The electric potential at the centre of the shell will be

A spherical shell of mass m and radius R is rolling up without slipping on a rough inclined plane as shown in the figure. The direction of static friction acting on the shell is

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if rltxlt2r

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if xgt2R

A tunnel is dug across the earth of mass 'M' and radius 'R' at a distance R//2 from the centre 'O' of the Earth as shown. A body is released from rest from one end of the smooth tunnel. The velocity acquired by the body when it reaches the centre 'C' of the tunnel is

A solid ball of mass m and radius R is released from the position shown in a large hollow shell of same mass m and radius 3R as shown in figure. The displacement of the centre of mass of the system from its initial position when the solid ball ball touches the lower surface of the hollow shell is : (centres of both the spheres coincide intially) :

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass and radius 2R as shown. A small particle of mass m is relased from rest from a height h (lt lt R) above the shell. There is a hole in the shell. Q. What time will it take to move from A to B?

DC PANDEY ENGLISH-ROTATIONAL MOTION-A Only One Option is Correct
  1. A solid sphere and a hollow sphere of equal mass and radius are placed...

    Text Solution

    |

  2. In the above problem, if coefficient of friction for both the spheres ...

    Text Solution

    |

  3. A ball of mass m and radius r rolls inside a hemispherical shell of ra...

    Text Solution

    |

  4. In the above probllem, the normal force between the ball and the shell...

    Text Solution

    |

  5. A disc of radius 0.1 mrolls without sliding on a horizontal suirface w...

    Text Solution

    |

  6. A uniform cylinder of mass M and radius R rolls without slipping down ...

    Text Solution

    |

  7. A spool of mass M and radius 2R lies on an inclined plane as shown in ...

    Text Solution

    |

  8. In both the figures all other factors are same, except that in figure ...

    Text Solution

    |

  9. A ring of radius R is first rotated with an angular velocity omega and...

    Text Solution

    |

  10. A rod of length l is given two velocities v(1) and v(2) in opposite di...

    Text Solution

    |

  11. Two particles connected by a rigid light rod AB, lying on a smooth hor...

    Text Solution

    |

  12. A disc of radius r rolls without slipping on a rough horizontal floor....

    Text Solution

    |

  13. A flat rail road car is accelerating along the positive x-axis with an...

    Text Solution

    |

  14. A uniform ring of mass m and radius R is released from top of an incli...

    Text Solution

    |

  15. A wheel ios rolling without sliding on a horizontal surface. The centr...

    Text Solution

    |

  16. a uniform circular disc of radiu8s r placed on a roughn horizontal pla...

    Text Solution

    |

  17. A solid sphere of radius R is resting on a smooth horizontal surface. ...

    Text Solution

    |

  18. Four holes of radius R are cut from a thin square plate of side 4 R an...

    Text Solution

    |

  19. Choose the correct option: A wire of mass m and length l is bent in ...

    Text Solution

    |

  20. A uniform disc of radius R lies in x-y plane with its centre at origin...

    Text Solution

    |