Home
Class 11
PHYSICS
A billiard ball of mass m and radius r, ...

A billiard ball of mass m and radius r, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity `v_(0).` The angular velocity `omega_(0)` acquired by the ball is

A

`(5v_(0)r^(2))/(2h)`

B

`(2v_(0)r^(2))/(5h)`

C

`(2v_(0)rh)/(5r^(2))`

D

`(5v_(0)h)/(2r^(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTOR

    DISHA|Exercise PHYSICS|45 Videos

  • THERMAL PROPERTIES OF MATTER

    DISHA|Exercise All Questions|44 Videos

Similar Questions

Explore conceptually related problems

A sphere of mass m and radius R is kept on a rough floor. A sharp impulse is applied in the horizontal direction at the height of centre of sphere so that sphere acquires a linear velocity v_(0) without any angular velocity. Calculate the velocity of sphere when pure rolling starts.

A uniform disc of mass m and radius R is released gentiy on a horizontal rough surface. Such that centre of the disc has velocity V_(0) towards right and angular velocity omega_(0) (anticlockwise) as shown. Disc will certainly come back to its intial position if

A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height h above the centre C . In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?

A solid sphere of mass M and radius R is hit by a cue at a height h above the centre C. for what value of h the sphere will rool without slipping ?

A solid sphere and a hollow sphere of equal mass and radius are placed over a rough horizontal surface after rotating it about its mass centre with same angular velocity omega_(0) . Once the pure rolling starts let v_(1) and v_(2) be the linear speeds of their centres of mass. Then

A disc of radius R and mass m is projected on to a horizontal floor with a backward spin such that its centre of mass speed is v_(0) and angular velocity is omega_(0) . What must be the minimum value of omega_(0) so that the disc eventually returns back?

A uniform solid sphere of mass m and radius r = 3m is projected along a rough horizontal surface with the initial velocity v_(0) = 6m//s and angular omega_(0) velocity as shown in the figure. If the sphere finally comes to complete rest then angular velocity is x rad/s. Find x.

A solid shperical ball of mass m and radius R is present on a rough horizontal surface. A person hit the ball at distance h above the centre of the ball as shown in the figure. Find out the h such that the ball starts pure rolling just after impact.

DISHA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-PHYSICS
  1. A body A of mass M while falling wertically downwards under gravity br...

    Text Solution

    |

  2. From a uniform wire, two circular loops are made (i) P of radius r and...

    Text Solution

    |

  3. A billiard ball of mass m and radius r, when hit in a horizontal direc...

    Text Solution

    |

  4. Three bricks each of length L and mass M are arranged as shown from th...

    Text Solution

    |

  5. Four point masses, each of value m, are placed at the corners of squar...

    Text Solution

    |

  6. A hoop of radius r and mass m rotating with an angular velocity omega0...

    Text Solution

    |

  7. Two masses m(1)and m(2) are connected by a massless spring of spring c...

    Text Solution

    |

  8. A body of mass 1.5 kg rotating about an axis with angular velocity of ...

    Text Solution

    |

  9. If vec F is the force acting in a particle having position vector vec ...

    Text Solution

    |

  10. A thin uniform rod of length l and mass m is swinging freely about a h...

    Text Solution

    |

  11. A wheel is rolling straight on ground without slipping. If the axis of...

    Text Solution

    |

  12. A solid sphere having mass m and radius r rolls down an inclined plane...

    Text Solution

    |

  13. A ring of mass M and radius R is rotating about its axis with angular ...

    Text Solution

    |

  14. A certain bicycle can go up a gentle incline with constant speed when ...

    Text Solution

    |

  15. A wooden cube is placed on a rough horizontal table, a force is applie...

    Text Solution

    |

  16. From a circular ring of mass M and radius R, an arc corresponding to a...

    Text Solution

    |

  17. A mass m moves in a circles on a smooth horizontal plane with velocity...

    Text Solution

    |

  18. A rod PQ of length L revolves in a horizontal plane about the axis YY´...

    Text Solution

    |

  19. A solid sphere rolls on a smooth horizontal surface at 10 m//s and the...

    Text Solution

    |

  20. A hollow smooth uniform A of mass 'm' rolls without sliding on a smoot...

    Text Solution

    |