Home
Class 11
PHYSICS
A hollow sphere of radius R lies on a sm...

A hollow sphere of radius R lies on a smooth horizontal surface. It is pulled by a horizontal force acting tangentially from the highest point. Find the distance travelled by the sphere during eh time it makes on full rotation.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Let the cue strickes at as height h above the center for pure rolling
`V_c=Romega`
Applying law of conservation of angular momentum at point A.
`-mu_Ch-thetaomega=0`
`mv_Ch=2/3mR^2(V_0/R)`
`h=(2R)/3`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    HC VERMA|Exercise Objective -2|15 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

Similar Questions

Explore conceptually related problems

A uniform sphere is place on a smooth horizontal surface and as horizontal force F is appied on it at a distance h above the surface. The acceleratioin of the centre

A uniform rod of length L lies on a smooth horizontal table. A particle moving on the table strikes the rod perpendicularly at an end and stops. Find the distance travelled by the centre of the rod by the time it turns through a right angle. Show that if the mass of the rod is four times that of the particle, the collision is elastic

A particle slides on the surface of a fixed smooth sphere starting from the topmost pont. Find the angle rotated by the radius through the particle, when it leaves contact with the sphere.

A block of mass M is pulled on a smooth horizontal table by a string making an angle theta with the horizontal as shown in figure. If the acceleration of the block is a , find the force applied by the string and by the table N on the block.

Two small and heavy sheres, each of mass M, are placed at a distance r apart on a horizontal surface. The gravitational potential at the midpoint on the line joining the centre of the spheres is:

The density inside a solid sphere of radius a is given by rho=rho_0/r , where rho_0 is the density ast the surface and r denotes the distance from the centre. Find the graittional field due to this sphere at a distance 2a from its centre.

One end of a uniform rod of mas m and length l is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end at a uniform angular velocity omega . The force exerted by the clamp on the rod has a horizontal component

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?

A solid sphere is set into motion on a rough horizontal surfce with a linar speed v in the forward direction and an angular speed v/R in the anticlockwise direction as shown infigure . Find the linear speed of the sphere a. where it stops rotating and b. when slipping finally ceases sand pure rolling starts.

HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. A metre stick is is held verticaly with one end on a rough horizontal ...

    Text Solution

    |

  2. A metre stick weighing 240 g is pivoted at its upper end in such a way...

    Text Solution

    |

  3. A uniform rod pivoted at its upper end hangs vertically. It is displac...

    Text Solution

    |

  4. A cylinder rolls on a horizontal plane surface. If the speed of the ce...

    Text Solution

    |

  5. A sphere of mass m rolls on a plane surface. Find its kinetic energy a...

    Text Solution

    |

  6. A string is wrapped over the edge a uniform disc and the free end is f...

    Text Solution

    |

  7. A small spherical ball is released from a point at a height h on a rou...

    Text Solution

    |

  8. A small disc is set rolling with a speed v on the horizontal part of t...

    Text Solution

    |

  9. A sphere starts rolling down can incline of inclination theta. Find th...

    Text Solution

    |

  10. A hollow sphere is released from the top of an inlcined plane of incli...

    Text Solution

    |

  11. Consider the situation as shown in the figure. A solid sphere of mass ...

    Text Solution

    |

  12. Figure shows a rough track a portion of which is in the form of a cyli...

    Text Solution

    |

  13. Figure shows a smasll sphereical bal of mass m rolling down the loop t...

    Text Solution

    |

  14. A hollow sphere of radius R lies on a smooth horizontal surface. It is...

    Text Solution

    |

  15. A uniform wheel of radius R is set lying on a rough horizontal surface...

    Text Solution

    |

  16. A uniform wheel of radius R is set lying on a rough horizontal surface...

    Text Solution

    |

  17. is the distance travelled by a body per unit time.

    Text Solution

    |

  18. A solid sphere of mass 0.50 kg is kept on a horizontal surface. The co...

    Text Solution

    |

  19. A solid sphere is set into motion on a rough horizontal surfce with a ...

    Text Solution

    |

  20. A solid sphere rolling on a rough horizontl surface with a lilner spee...

    Text Solution

    |