Home
Class 11
PHYSICS
A disc of radius 20 CM is rolling with s...

A disc of radius `20 CM` is rolling with slipping on a flat horizontal surface. At a certain instant the velocity of its centre is `4 m//s` and its angular velocity is `10 rad//s`. The lowest contact point is `O`.

Velocity of point `O` is

A

`2m//s`

B

`4m//s`

C

`1m//s`

D

`3m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
As net velocity of contact point is not zero, the disc rolls with slipping as `omega` about `IC` is the same

`omega=(v_(0))/(IO)=(v_(c))/(IC)`
`2/x=4/(x+R)` or `x=0.2m`
Velocity of `P` is given by `v_(p)=(IP)omega=sqrt(5)Rxx2/x=2sqrt(5)m//s`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Integer|7 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Fill In The Blanks|7 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Multiple Correct|26 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

A disc of mass 100 g is rolling without slipping on a horizontal surface with a velocity of 10 cm s^(-1) . Calculate its total energy.

A disc rolls without slipping on a horizontal surface such that its velocity of center of the mass is v . Find the velocity of points A , B , C and D .

A disc of radius 0.2 m is rolling with slipping on a flat horizontal surface, as shown in Fig. The instantaneous centre of rotation is (the lowest contact point is O and centre of disc is C )

A solid cylinder of mass M and radius R rolls without slipping on a flat horizontal surface. Its moment of inertia about the line of contact is ?

A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is .

A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity the angle between the velocity ad acceleration vectors of point P is

A uniform circular disc of radius R is rolling on a horizontal surface. Determine the tangential velocity : at the upper most point

A disc of radius 10cm is moving with its centre's velocity =1m/s rightwards,on a flat horizontal surface.At a certain moment,its angular velocity is, 20rad/s ,anticlockwise.Then, the distance of a point on the disc (from its centre) whose instantaneous velocity is zero is

A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is v . The velocity of a particle at the highest point of the rim is

A uniform disc is rolling on a horizontal surface. At a certain instant B is the point of contact and A is at height 2 R from ground, where R is radius of disc - .

CENGAGE PHYSICS-RIGID BODY DYNAMICS 2-Linked Comprehension
  1. In the given figure F=10N, R=1m, mass of the body is 2kg and moment of...

    Text Solution

    |

  2. In the given figure F=10N, R=1m, mass of the body is 2kg and moment of...

    Text Solution

    |

  3. A disc of radius 20 CM is rolling with slipping on a flat horizontal s...

    Text Solution

    |

  4. A disc of radius 0.2 m is rolling with slipping on a flat horizontal s...

    Text Solution

    |

  5. A disc of radius 20 CM is rolling with slipping on a flat horizontal s...

    Text Solution

    |

  6. A solid sphere of mass M and radius R is initially at rest. Solid sphe...

    Text Solution

    |

  7. A solid sphere of mass M and radius R is initially at rest. Solid sphe...

    Text Solution

    |

  8. A uniform rod AB hinged about a fixed point P is initially vertical. A...

    Text Solution

    |

  9. A uniform rod AB hinged about a fixed point P is initially vertical. A...

    Text Solution

    |

  10. A uniform rod AB hinged about a fixed point P is initially vertical. A...

    Text Solution

    |

  11. A uniform disc of mass m and radius R rotates about a fixed vertical a...

    Text Solution

    |

  12. A uniform disc of mass m and radius R rotates about a fixed vertical a...

    Text Solution

    |

  13. When a body is hinged at a point and a force is acting on the body in ...

    Text Solution

    |

  14. When a body is hinged at a point and a force is acting on the body in ...

    Text Solution

    |

  15. When a body is hinged at a point and a force is acting on the body in ...

    Text Solution

    |

  16. A rod AB of mass M and length 8l lies on a smooth horizontal surface. ...

    Text Solution

    |

  17. A rod AB of mass M and length 8l lies on a smooth horizontal surface. ...

    Text Solution

    |

  18. A rod AB of mass M and length 8l lies on a smooth horizontal surface. ...

    Text Solution

    |

  19. A rod AB of mass M and length 8l lies on a smooth horizontal surface. ...

    Text Solution

    |

  20. A Iong slender rod of mass 2 kg and length m is placed on a smooth hor...

    Text Solution

    |