Home
Class 12
PHYSICS
A sphere kept on a rough inclined plane ...


A sphere kept on a rough inclined plane is in equilibrium by a string wrapped over it. If angle of inclination is `theta`, the tension in string will be equal to

A

`mgsintheta`

B

`2mgsintheta`

C

`(mgsintheta)/(2)`

D

`mgcostheta`

Text Solution

Verified by Experts

The correct Answer is:
C
`T+f=mgsintheta` (translational equilibrium)
`T(R)=f(R)` (rotational equilibrium)
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-II)|20 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

Similar Questions

Explore conceptually related problems

A uniform thin hemispherical shell is kept at rest and in equilibrium on an inclined plane of angle of inclination theta=30^(@) as shown inf figure. If the surface of the inclined plane is sufficiently rough to prevent sliding then the angle alpha made by the plane of hemisphere with inclined plane is :

A non uniform sphere can be kept on a rough inclined plane so that it is in equilibrium. In the figure below the dots representsm location of centre of mass. In which one of the positions can sphere be in equilibrium ?

A block is at rest on an inclined plane making an angle alpha with the horizontal. As the angle of the incline is increased the block start slipping when the angle of inclination becomes theta then coefficient of friction is equal to

For the system shown in the figure, the inclined plane is fixed, all the pulleys are light and friction is absent every where.The tension in the string will be

A Sphere pure rolls on a rough inclined plane with initial velocity 2.8 m/s. Find the maximum distance on the inclined plane

A hollow sphere rolls down a rough inclined plane whose angle of inclination is theta , with horizontal. For the hollow sphere to undergo pure rolling, without slipping, the condition is [ mu = coefficient of friction between the hollow sphere and inclined plane]

A body is in equilibrium on a rough inclined plane undr its own weight. If the angle of inclination of the inclined plane is alpha and the angle of friction is lambda , then

A plumb bob of mass 1 kg is hung from the ceiling of a train compartment.The train moves on an inclined plane with constant velocity. If the angle of inclined is 30^(@) .Find the angle made by the string with the normal to the ceiling .Also ,Find the tension in the string (g = 10 m//s^(2))

FIITJEE-TEST PAPERS-PHYSICS
  1. The current in a wire varies with time according to the equation l=4+2...

    Text Solution

    |

  2. if rho is the density of the meterial of a wire and sigma is the break...

    Text Solution

    |

  3. A sphere kept on a rough inclined plane is in equilibrium by a string ...

    Text Solution

    |

  4. A rectangular loop with a sliding connector of length l is located in ...

    Text Solution

    |

  5. A, B, C, D, P, and Q are points in a uniform electric field. The poten...

    Text Solution

    |

  6. A concave mirror of focal length 15 cm is placed in water of refrectiv...

    Text Solution

    |

  7. An ideal gas expands according to the law PV^(3//2)=constant We conclu...

    Text Solution

    |

  8. A tank has a hole at its bottom. The time needed to empty the tank fro...

    Text Solution

    |

  9. A source of sound emitting a note of frequency 200 Hz moves towards an...

    Text Solution

    |

  10. A lake is covered with ince 2 cm thick.t he temperature of ambient air...

    Text Solution

    |

  11. A cylindrical hall has a horizontal smooth floor. A ball is projected ...

    Text Solution

    |

  12. A solid cylinder of mass M is attached to the spring by means of a fri...

    Text Solution

    |

  13. Two blocks A and B of mass 2 m and m respectively are connected to a m...

    Text Solution

    |

  14. Two small balls A and B, each of mass m, are joined rigidly at the end...

    Text Solution

    |

  15. A rod of negligible heat capacity has a length of 50 cm, area of cross...

    Text Solution

    |

  16. Both the strings shown in figure are mode of same material and have sa...

    Text Solution

    |

  17. Excess pressure inside one soap bubble is four times that of other. Th...

    Text Solution

    |

  18. Two liquids which do not react chemically are placed in a bent tube as...

    Text Solution

    |

  19. A sperical object of mass 1kg and radius 1 m is falling vertically dow...

    Text Solution

    |

  20. Two radioactive elements R and S disintegrate as RtoP+alpha,lamda(R)...

    Text Solution

    |