Home
Class 11
PHYSICS
Time taken by the rolling object in incl...

Time taken by the rolling object in inclined plane to reach its bottom is

A

`sqrt((1+(k^(2))/(R^(2)))/(g sin^(2) theta))`

B

`sqrt((2gh)/(1+(k^(2))/(R^(2))))`

C

`sqrt((2h(1+(k^(2))/(R^(2))))/(g sin^(2) theta))`

D

`sqrt((2h(1+(R^(2))/(k^(2))))/(g sin^(2) theta))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - I ( SHORT ANSWER QUESTIONS (1 MARK))|25 Videos
  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - III ( SHORT ANSWER QUESTIONS (2 MARKS))|12 Videos
  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED ( NUMERICAL PROBLEMS)|7 Videos
  • LAW OF MOTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS (3 MARKS & NUMERICALS))|16 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

Similar Questions

Explore conceptually related problems

The velocity of the rolling object on inclined plane at the bottom of inclined plane is

The acceleration of the sliding object in an inclined plane

The speed of an object sliding in an inclined plane at the bottom is

Two identical water bottles one empty and the other filled with water are allowed to roll down an inclined plane. Which one of them reaches the bottom first ? Explain your answer.

A solid cylinder when dropped from a height of 2 m acquires a velocity while reaching the ground. If the same cylinder is rolled down from the top of an inclined plane to reach the ground with same velocity, what must be the height of the inclined plane? Also compute the velocity

FULL MARKS-MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES-ADDITIONAL QUESTIONS SOLVED - I ( MULTIPLE CHOICE QUESTION)
  1. In slipping, the resultant velocity of a point of contact acts along

    Text Solution

    |

  2. When a solid sphere is undergoing pure rolling, the ratio of translati...

    Text Solution

    |

  3. Time taken by the rolling object in inclined plane to reach its bottom...

    Text Solution

    |

  4. The velocity of the rolling object on inclined plane at the bottom of ...

    Text Solution

    |

  5. Moment of inertia of an annular disc about an axis passing through the...

    Text Solution

    |

  6. Moment of inertia of a thin uniform rod about an axis passing through ...

    Text Solution

    |

  7. Moment of inertia of a thin uniform rectangular sheet about an axis pa...

    Text Solution

    |

  8. Rotational kinetic energy can be calculated by using

    Text Solution

    |

  9. The radius of gyration of a solid sphere of radius about a certain axi...

    Text Solution

    |

  10. A wheel is rotating with angular velocity 2 rad/s. It is subjected to ...

    Text Solution

    |

  11. Two rotating bodies A and B of masses mand 2m with moments of inertia ...

    Text Solution

    |

  12. three identical particles lie in x y plane. The (x, y) coordinates of ...

    Text Solution

    |

  13. A solid cylinder of mass 3 kg and radius 10 cm is rotating about its a...

    Text Solution

    |

  14. A circular dise in rolling down in an inclined plane without slipping....

    Text Solution

    |

  15. A sphere rolls down in an inclined plane without slipping. The percent...

    Text Solution

    |

  16. Two blocks of masses 10 kg and 4 kg are connected by a spring of negli...

    Text Solution

    |

  17. A mass is whirled in a circular path with constant angular velocity an...

    Text Solution

    |

  18. The moment of inertia of a thin uniform ring of mass 1 kg and radius 2...

    Text Solution

    |

  19. A solid sphere is rolling down in the inclined plane, from rest withou...

    Text Solution

    |

  20. An electron is revolving in an orbit of radius 2Å with a speed of 4 xx...

    Text Solution

    |