Home
Class 11
PHYSICS
A small solid cylinder of radius r is re...


A small solid cylinder of radius `r` is released coaxially from point A inside the fixed large cylindrical bawl of radius R as shown in figure. If the friction between the small and the large cylinder is sufficient enough to prevent any slipping then find.
(a). What fractions of the total energy are translational and rotational when the small cylinder reaches the bottom of the larger one?
(b). The normal force exerted by the small cylinder on the larger one when it is at the bottom.

A

`7/5`

B

`2/7`

C

`5/7`

D

`7/10`

Text Solution

Verified by Experts

The correct Answer is:
B

`(1/2Iomega^(2))/(1/2mv^(2)(1+(k^(2))/(R^(2))))`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-III|66 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise NCERT based questions|15 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-1(C.W.)|64 Videos
  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

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 solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the incline as shown in the figure. What is the angular speed of the cylinder when it reaches the horizontal surface?

A solid cylinder of mass M is attached to the spring by means of a frintionless pivot. The cylinder is placed on floor. Find the time period of small oscillation of the system, if the floor is sufficiently rought to prevent any slipping of cylinder. Assume stiffness of spring to be K.

When a solid cylinder rolls without slipping the ratio of kinetic energy of translation to its total kinetic energy is

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 cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

A solid cylinder of mass M and radius 2R is rolled up on an incline with the help of a plank of mass 2M as shown in the figure. A constant force F is acting on the plank parallel to the incline. There is no slipping at any of the contact. The friction force between the plank and cylinder is given by:

Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolld without slipping from A to B . Find the ratio of translational kinetic energy to rotationa linetic energy, when the cylinder reaches point C . .

NARAYNA-SYSTEM OF PARTICLES-Level-II(C.W.)
  1. The radius of gyration of rod of length L and mass M about an axis per...

    Text Solution

    |

  2. Two point size bodies of masses 2kg, 3kg are fixed at two ends of a li...

    Text Solution

    |

  3. Three rings, each of mass m and radius r, are so placed that they touc...

    Text Solution

    |

  4. Three point sized bodies each of mass M are fixed at three corners of ...

    Text Solution

    |

  5. A thin uniform circular disc of mass M and radius R is rotating in a h...

    Text Solution

    |

  6. A turn table is rotating in horizontal plane about its own axis at an ...

    Text Solution

    |

  7. A uniform cylindrical rod of mass m and length L is rotating with an a...

    Text Solution

    |

  8. A constant torque of 1000 N-m turns a wheel of moment of inertia 200 k...

    Text Solution

    |

  9. An energy of 484 J is spent in increasing the speed of a flywheel from...

    Text Solution

    |

  10. The angular frequency of a fan of moment of inertia 0.1kgm^2 is increa...

    Text Solution

    |

  11. A wheel rotating at an angular speed of 20 rad/s ils brought to rest b...

    Text Solution

    |

  12. A sphere of mass m and radius r rolls on a horizontal plane without sl...

    Text Solution

    |

  13. A circular ring starts rolling down on an inclined plane from its top....

    Text Solution

    |

  14. A thin rod of length L is vertically straight on horizontal floor. Thi...

    Text Solution

    |

  15. A wheel of radius R rolls without slipping on the horizontal surface w...

    Text Solution

    |

  16. A solid cylinder of mass m rolls without slipping down an inclined pla...

    Text Solution

    |

  17. A thin metal disc of radius 0.25m and mass 2kg starts from rest and ro...

    Text Solution

    |

  18. A small solid cylinder of radius r is released coaxially from point A ...

    Text Solution

    |

  19. A metal disc of radius R and mass M freely rolls down from the top of ...

    Text Solution

    |

  20. A thin rod of length L is vertically straight on horizontal floor. Thi...

    Text Solution

    |