Home
Class 11
PHYSICS
A solid cylinder of mass m is kept in ba...

A solid cylinder of mass `m` is kept in balance on a fixed incline of angle `alpha=37^@` with the help of a thread fastened to its jacket. The cylinder does not slip.

The values of minimum coefficient of static friction between cylinder and incline in the case when `F` is minimum.

A

`3/4`

B

`3/8`

C

`3/16`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`F+f=mg sinalpha`
`implies f+f=mgsinalpha [:'F=]`
`implies f=(mgsinalpha)/2`
`f_(l)=muN=mumgcosalpha`

For no slipping `f_(e)gef`
`implies mumgcosalphagemg((sinalpha)/(2))`
`implies muge(tanalpha)/2=(3//4)/2=3/8`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer|7 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Fill In The Blanks|7 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|26 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass m is kept in balance on a fixed incline of angle alpha=37^@ with the help of a thread fastened to its jacket. The cylinder does not slip. What force F is reqired to kep the cylinder in balance when the thread is held vertically?

A solid cylinder of mass m is kept in balance on a fixed incline of angle alpha=37^@ with the help of a thread fastened to its jacket. The cylinder does not slip. In what direction should the thread be pulled to minimise the force required to hold the cylinder? What is the magnitude of this force?

A uniform cylinder of mass m lies on a fixed plane inclined at a angle theta with the horizontal. A light string is tied to the cylinder at the rightmost point, and a mass m hangs from the string as shown. Assume that the coefficient of friction between the cylinder and the incline plane is sufficiently large to prevent slipping. for the cylinder to remain static the value of m is

A solid cylinder rolls without slipping down a 30^@ slope. The minimum coefficient of friction needed to prevent slipping, will be

A uniform cylnder of radius r and radius of gyration is kept on a fixed wedge of inclination theta . When we push the wedge with a constant acceleration a, the cylinder rolls up the wedge. Find coefficient of friction between the cylinder and wedge.

A cylinder is released from the top of an incline making angle theta=45^(@) with the horizontal. The length of the incline is 2.82m and mass of cylinder is 1kg . The coefficient of friciton is 0.2 between the cylinder and the incline. When the cylinder reaches the bottom of the incline, its total kinetic energy is (g=10m//s^(2))

A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. THE speed of its centre of mass when it reaches the bottom is

A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre when it reaches the bottom is.

A horizontal uniform rod of mass 'm' has its left end hinged to the fixed incline plane, while its right end rrests on the top of a uniform cylinder of mass 'm' which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest. The ratio of magnitude of frictional force on the cylinder due to the rod and the magnitude of frictional force on the cylinder due to the inclined plane is :

A horizontal uniform rod of mass 'm' has its left end hinged to the fixed incline plane, while its right end rrests on the top of a uniform cylinder of mass 'm' which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest. The magnitude of normal reaction exerted by the inclinded plane on the cylinder is :

CENGAGE PHYSICS ENGLISH-RIGID BODY DYNAMICS 2-Linked Comprehension
  1. A solid cylinder of mass m is kept in balance on a fixed incline of an...

    Text Solution

    |

  2. A solid cylinder of mass m is kept in balance on a fixed incline of an...

    Text Solution

    |

  3. A solid cylinder of mass m is kept in balance on a fixed incline of an...

    Text Solution

    |

  4. A ball, rolling purely on a horizontal floor with centre's speed v, hi...

    Text Solution

    |

  5. A ball, rolling purely on a horizontal floor with centre's speed v, hi...

    Text Solution

    |

  6. A uniform disc of mass 1 kg and radius 20 cm is rolling purely on a fl...

    Text Solution

    |

  7. A uniform disc of mass 1 kg and radius 20 cm is rolling purely on a fl...

    Text Solution

    |

  8. A uniform disc of mass 1 kg and radius 20 cm is rolling purely on a fl...

    Text Solution

    |

  9. In this passage a brief idea is given of the motion of the rolling bod...

    Text Solution

    |

  10. In this passage a brief idea is given of the motion of the rolling bod...

    Text Solution

    |

  11. In this passage a brief idea is given of the motion of the rolling bod...

    Text Solution

    |

  12. In this passage a brief idea is given of the motion of the rolling bod...

    Text Solution

    |

  13. A gardener presses the grasscutter with a force F at an angle theta. A...

    Text Solution

    |

  14. A gardener presses the grasscutter with a force F at an angle theta. A...

    Text Solution

    |

  15. A gardener presses the grasscutter with a force F at an angle theta. A...

    Text Solution

    |

  16. Two wheels A and C are connected by a belt B as shown in figure. The r...

    Text Solution

    |

  17. A solid ball of mass m and radius r spinning with angular velocity ome...

    Text Solution

    |

  18. System is shown in the figure. Velocity of sphere A is 9 (m)/(s). Find...

    Text Solution

    |

  19. Two forces of magnitude F are acting on a uniform disc kept on a horiz...

    Text Solution

    |

  20. A disc of radius R is rolling purely on a flat horizontal, with a Cons...

    Text Solution

    |