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 fixed 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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Chapter Test|29 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise NEET Questions|59 Videos

  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Determine the position of the centre of mass of a hemisphere of radius R.

A thin uniform spherical shell of mass M and radius R is held fixed . There is a small hole punched in the shell. A particle of mass m is released from rest at a distance R from the hole along a line that passes through the hole and also through the centre of the shell. The particle starts moving towards the centre of shell only due to gravitational attraction. Find the time taken by the particle to reach the diagonally opposite end of the shell.

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.

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

From a hemisphere of radius R a cone of base radius R/w and height R is cut as shown in figure. Find the height of centre of mass of the remaining object.

A small sphere D of mass and radius rols without slipping inside a large fixed hemispherical radius R( gt gt r) as shown in figure. If the sphere starts from rest at the top point of the hemisphere normal force exerted by the small sphere on the hemisphere when its is at the bottom B of the hemisphere. .

a solid sphere of mass m and radius r is plced nside as hollow thin spherical shell of mass and M and radius R as shown in figure. A particle of mas m is placed on tehline joining the tow centres ast a distance x from the point of contct of th sphere and teh shell. Findn teh mgnitude fo the resultant gravitational force on this particle due to the sphere and the shell if a. rltxlt2r, b. 2rltxlt2R and c. xgt2R .

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 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 (s)

A ball of mass m is released from A inside a smooth wedge of mass m as shown in figure. What is the speed of the wedge when the ball reaches point B?

A2Z-ROTATIONAL DYNAMICS-AIIMS Questions
  1. In the figure shown, a cylinder A is initially rolling with velocity v...

    Text Solution

    |

  2. A ball of mass m falls vertically to the ground from a height h1 and r...

    Text Solution

    |

  3. A solid iron sphere A rolls down an inclined plane. While an identical...

    Text Solution

    |

  4. A particle of mass 0.1 kg is subjected to a force which varies with di...

    Text Solution

    |

  5. A ball of mass m and radius r rolls inside a fixed hemispherical shell...

    Text Solution

    |

  6. A particle moves in a circular path with decreasing speed . Choose the...

    Text Solution

    |

  7. A solid disc rolls clockwise without slipping over a horizontal path w...

    Text Solution

    |

  8. A wheel which initiallty at rest starts rotating at time t = 0. The an...

    Text Solution

    |

  9. What will be the position of centre of mass of a half disc shown ? .

    Text Solution

    |

  10. Assertion: In an elasticcollision of two billard balls, the total KE i...

    Text Solution

    |

  11. The earth is slowing down and as a result the moon is coming nearer to...

    Text Solution

    |

  12. There are very small sporadic changes in the speed of rotation of the ...

    Text Solution

    |

  13. For of particles under central forcer field, the total angular momentu...

    Text Solution

    |

  14. A judo fighter in order to throw his opponent on the mat tries to ini...

    Text Solution

    |

  15. Assertion: A quick collision between two bodies is more violent that s...

    Text Solution

    |

  16. Assertion: In an elastic collision of two bodies , the momentum and en...

    Text Solution

    |

  17. Assertion: The velocity of a body at the bottom of an inclind plane of...

    Text Solution

    |

  18. Assertion: The velocity of a body at the bottom of an inclind plane of...

    Text Solution

    |

  19. A solid sphere rolling on a rough horizontal surface. Acceleration of ...

    Text Solution

    |

  20. Torque on a body can be zero even if there is a net force on it. Tor...

    Text Solution

    |