Home
Class 11
PHYSICS
A solid cylinder rolls down an inclined ...

A solid cylinder rolls down an inclined plane of height `h` and inclination `theta`. Calculate its speed to the bottom of the plane using acceleration method and energy method. Also calculate the time taken to reach of the bottom.

Text Solution

Verified by Experts

Let `v, omega` be the velocity of centre of mass and the angular velocity of cylinder respectively at the bottom of the plane .
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 1|9 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 4|11 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

If a solid cylinder rolls down an inclined plane, then its:

A solid cylinder is rolling down a rough inclined plane of inclination theta . Then

A solid cylinder rolls down from an inclined plane of height h. What is the velocity of the cylinder when it reaches at the bottom of the plane ?

A cylinder rolls down an inclined plane of inclination 30^@ , the acceleration of cylinder is

A block is released on an smooth inclined plane of inclination theta . After how much time it reaches to the bottom of the plane?

A sphere rolls down on an inclied plane of inclination theta . What is the acceleration as the sphere reaches bottom ?

A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be :

A cylinder of mass m and radius R rolls down an inclined plane of inclination theta . Calculate the linear acceleration of the axis of cylinder.

A cylinder of mass m and radius R rolls down an inclined plane of inclination theta . Calculate the linear acceleration of the axis of cylinder.

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
  1. A solid cylinder rolls down an inclined plane of height h and inclinat...

    Text Solution

    |

  2. For which of the following does the centre of mass lie outside the bod...

    Text Solution

    |

  3. Which of the following points is the likely position of the cent...

    Text Solution

    |

  4. A particle of mass m is moving in yz - plane with a uniform veloci...

    Text Solution

    |

  5. When a disc rotates with uniform angular velocity, which of the follow...

    Text Solution

    |

  6. A uniform square palte has a small piece Q of an irregular shape...

    Text Solution

    |

  7. In the above problem , the CM of the plate is now in the followin...

    Text Solution

    |

  8. The density of a non-uniform rod of length 1m is given by rho (x) = a ...

    Text Solution

    |

  9. A Merry -go-round, made of a ring-like plarfrom of radius R and mass M...

    Text Solution

    |

  10. Choose the correct alternative :

    Text Solution

    |

  11. Figure shows two identical particles 1 and 2 , each of mass m ...

    Text Solution

    |

  12. The net external torque on a system of particles about an axis is zero...

    Text Solution

    |

  13. A uniform cube of mass m and side a is placed on a frictionless ...

    Text Solution

    |

  14. A uniform uniform sphere of mass m and radius R is placed on a ro...

    Text Solution

    |

  15. A T shaped object with dimesions shown in the figure , is lying a...

    Text Solution

    |

  16. A circular ring of mass 6kg and radius a is placed such that its cente...

    Text Solution

    |

  17. In the figure d shown a hole of radius 2 cm is made in a semicir...

    Text Solution

    |

  18. The figure shows the positions and velocities of two particles . ...

    Text Solution

    |

  19. A rod of length 3m and its mass par unit length is directly propo...

    Text Solution

    |

  20. A wheel is rotating about an axis through its centre at 720 rp...

    Text Solution

    |

  21. A particle of mass m describes a circle of radius r . The centripetal ...

    Text Solution

    |