Home
Class 11
PHYSICS
A cylinder with radius R spins about its...

A cylinder with radius R spins about its horizontal axis with angular speed `omega`. There is a small block lying on the inner surface of the cylinder. The coefficient of friction between the block and the cylinder is `mu`. Find the value of `omega` for which the block does not slip, i.e., stays at rest with respect to the cylinder.

Text Solution

Verified by Experts

The correct Answer is:
`omega ge sqrt(gsqrt(1 + mu^(2))/(Rmu))`
Promotional Banner

Topper's Solved these Questions

  • MOMENTUM AND CENTRE OF MASS

    ARIHANT|Exercise Momentum And Center of Mass|117 Videos

  • ROTATIONAL MOTION

    ARIHANT|Exercise PHYSICS|159 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

In the figure, a block of weight 60N is placed on a rough surface. The coefficient of friction between the block and the surface is 0.5 . What should be the weight W such that the block does not slip on the surface?

A uniform cylinder of radius R is spinned about it axis to the angular velocity omega_(0) and then placed into a corner,. The coeficient of friction between the corner walls and the cylinder is mu_(k) How many turns will the cylinder accomplish before it stops?

A cylinder of radius R is rotating about its horizontal axis with constant omega=sqrt((5g)/R) . A block of mass m is kept on the inner surface of the cylinder. Block is moving in vertical circular motion without slipping. co–efficient of friction between block and surface of cylinder is mu . If minimum value of mu for complete vertical circular motion of block is (2sqrt(6))/(3x) then find 'x'.

A cylinder full of water is rotating about its own axis with uniform angular velocity omega . Then the shape of free surface of water will be

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 hollow cylinder of radius R rotates about its axis which is vertical. A block remains in contact with the inner wall if the frequency of rotation is f hertz, but falls at lower frequaencies. The coefficient of friction between the block and the cylinder is

A block of mass m is kept on horizontal turn table at x distance from the centre. If coefficient of friction between block and surface of turn table is mu , then maximum angular speed of the table so that block does not slip

A uniform cylinder of mass M and radius R is placed on a rough horizontal board, which in turn is placed on a smooth surface. The coefficient of friction between the board and the cylinder is mu . If the board starts accelerating with constant acceleration a, as shown in the figure, then

ARIHANT-NEWTONS LAWS OF MOTION-All Questions
  1. A room is in shape of a cube . A heavy ball (B) is suspended at the ce...

    Text Solution

    |

  2. Two identical smooth disc of radius R have been placed on a frictionle...

    Text Solution

    |

  3. Three identical smooth cylinders, each of mass m and radius r are rest...

    Text Solution

    |

  4. A massless spring of force constant K and natural length l(0) is hangi...

    Text Solution

    |

  5. In the system shown in fig., all pulleys are mass less and the string ...

    Text Solution

    |

  6. In the system shown in fig., block A and C are placed on smooth floors...

    Text Solution

    |

  7. A chain with uniform mass per unit length lies in a vertical plane alo...

    Text Solution

    |

  8. A 4 kg block is placed on a rough horizontal surface. The coefficient ...

    Text Solution

    |

  9. A rope of mass m is hung from a ceiling. The centre point is pulled do...

    Text Solution

    |

  10. A smooth cylinder is fixed with its axis horizontal. Radius of the cyl...

    Text Solution

    |

  11. A block of mass m placed on an incline just begins to slide when incli...

    Text Solution

    |

  12. A block A has been placed symmetrically over two identical blocks B an...

    Text Solution

    |

  13. In the arrangement shown in the figure the coefficient of friction bet...

    Text Solution

    |

  14. A hemisphere of mass M and radius R rests on a smooth horizontal table...

    Text Solution

    |

  15. A semicircular ring of radius R is fixed on a smooth horizontal table....

    Text Solution

    |

  16. A long helix made of thin wire is held vertical. The radius and pitch ...

    Text Solution

    |

  17. A wedge of mass m is kept on a smooth table and its inclined surface i...

    Text Solution

    |

  18. A cylinder with radius R spins about its horizontal axis with angular ...

    Text Solution

    |

  19. A particle of mass m is attached to a vertical rod with two inextensib...

    Text Solution

    |

  20. A sphere of mass m and radius r = sqrt3m is placed inside a container ...

    Text Solution

    |