Home
Class 11
PHYSICS
A cylinder of mass 10 kg is rolling perf...

A cylinder of mass `10 kg` is rolling perfectly on a plane of inclination `30^(@)`. Find the force of friction between the cylinder and the surface of inclined plane.

A

`49 N`

B

`24.5N`

C

`49//3N`

D

`12.25N`

Text Solution

Verified by Experts

The correct Answer is:
C
`f=(mg sin theta)/(1+(R^(2))/(K^(2)))` where `(R^(2))/(K^(2))=2`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise NCERT based questions|15 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level -I(H.W)|58 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-II(C.W.)|64 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass 8 kg is rolling perfectly down an inclined plane of inclination 30. Calculate the force of friction between the cylinder and inclined plane and acceleration of the cylinder down the inclined plane.

A solid cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30^(@) . The coefficient of static friction, mu_(s)=0.25 (i) Find the force of friction acting on the cylinder. (ii) What is the work done against friction during rolling ? (iii) If the inclination theta of the plane is increases, at what value of theta does the cylinder begin to skid, and not roll perfectly ?

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 cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30^(@) . The coefficient of static friction is mu_(s) = 0.25 . (a) How much is the force of friction acting on the cylinder ? (b) What is the work done against friction during rolling ? (c ) If the inclination theta of plane is increased, at what value of theta does the cylinder begin to skid and not roll perfectly ?

A cylinder of radius R and mass M rolls without slipping down a plane inclined at an angle theta . Coeff. of friction between the cylinder and the plane is mu . For what maximum inclination theta , the cylinder rolls without slipping ?

A cylinder is rolling down on a inclined plane of inclination 60^(@) . What is iths acceleration?

A solid cylinder of mass 8 kg and radius 50 cm is rolling down a plane inclined at an angle of 30^@ with the horizontal. force of friction on the cylinder is?

A block of mass m is at rest on a rough inclined plane of angle of inclination theta . If coefficient of friction between the block and the inclined plane is mu , then the minimum value of force along the plane required to move the block on the 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 :

NARAYNA-SYSTEM OF PARTICLES-Level-III
  1. A uniform circular disc of mass M and radius R rolls without slipping ...

    Text Solution

    |

  2. A disc of mass m and radius R moves in the x-y plane as shown in Fig. ...

    Text Solution

    |

  3. A uniform sphere of mass m radius r and moment of inertia I about its ...

    Text Solution

    |

  4. In the figure shown, a ring A is initially rolling without sliding wit...

    Text Solution

    |

  5. In figure calculate the linear acceleration of the blocks. Mass of bl...

    Text Solution

    |

  6. A block of mass m is attached at the end of an inextensible string whi...

    Text Solution

    |

  7. A uniform rod of length L and mass M is pivoted freely at one end and ...

    Text Solution

    |

  8. The arrangement shown in figure consists of two identical, uniform, so...

    Text Solution

    |

  9. The top is figure has moment of inertia equal to 4.00xx10^(-4) kgm^(2...

    Text Solution

    |

  10. A solid cylinder of mass m=4kg and radius R=10cm has two ropes wrapped...

    Text Solution

    |

  11. Assume the earth's orbit around the sun as circular and the distance b...

    Text Solution

    |

  12. A cylinder of mass 10 kg is rolling perfectly on a plane of inclinatio...

    Text Solution

    |

  13. In Fig. the velocities are in ground frame and the cylinder is perform...

    Text Solution

    |

  14. A carpet of mass M is rolled along its length so as to from a cylinder...

    Text Solution

    |

  15. A tangential force F acts at the top of a thin spherical shell of mass...

    Text Solution

    |

  16. A uniform circular ring of radius R is first rotated about its horizon...

    Text Solution

    |

  17. A disc of radius R rolls without slipping at speed v along positive x-...

    Text Solution

    |

  18. A uniform solid sphere of radius r is rolling on a smooth horizontal s...

    Text Solution

    |

  19. A particle of mass 'm' is rigidly attached at 'A' to a ring of mass 3m...

    Text Solution

    |

  20. A solid sphere of mass M and radius R is placed on a rough horizontal ...

    Text Solution

    |