Home
Class 11
PHYSICS
A uniform rod of mas m and length l is m...

A uniform rod of mas m and length `l` is made to stand at an angle of `60^(@)` with the vertical. What is the potential energy of the rod in this position?

A

mgl

B

`(mgl)/(2)`

C

`(mgl)/(3)`

D

`(mgl)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
`h=(l)/(2)cos. 60^(@)(l)/(4)`
`PE=mgh=mgxx(l)/(4)`
`PE=(mgl)/(4)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Displacement, Velocity and Acceleration)|34 Videos

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Moment of Inertia)|139 Videos

  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

A rod of mass M and length L is made to stand vertically. Potential energy of the rod in this position is

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A uniform rod of mass 20 Kg and length 1.6 m is piovted at its end and swings freely in the vertical plane. Angular acceleration of the rod just after the rod is relased from rest in the horizontal position is

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

A uniform slender rod of mass M and length L is pivoted at its end. The rod is released from its nearly vertical position. What is the reaction at the pivot when the rod reaches the horizontal position? If the support is withdrawn at this instant, describe the subsequent motion of the rod.

Find the potential energy of the gravitational interaction of a point mass m and a rod of mass m and length l , if they are along a straight line. Point mass is at a distance of a from the end of the rod. Find the potential energy of the gravitational

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What will be the horizontal component of angular momentum of the rod about the point of suspension in terms of m , omega , l and theta .

A uniform rod of mass m and length l is pivoted smoothly at O . A horizontal force acts at the bottom of the rod. a. Find the angular velocity of the rod as the function of angle of rotation theta. b.What is the maximum angular displacement of the rod?

A uniform rod of mas m and length l is kept vertical with the lower end clamed. It is slightly pushed to let it fall down under gravity. Find its angular speed when the rod is passing through its lowest positon. Neglect any friction at the clamp. What will be the linear speed of the free end at this instant?

ERRORLESS-ROTATIONAL MOTION-Assertion & Reason
  1. A uniform rod of mas m and length l is made to stand at an angle of 60...

    Text Solution

    |

  2. Statement-1 : The centre of mass of a two particle system lies on the ...

    Text Solution

    |

  3. Statement-1 : The centre of mass of a system of n particles is the wei...

    Text Solution

    |

  4. Assertion : The centre of mass of an isolated system has a constant ve...

    Text Solution

    |

  5. Statement-1: The center of mass of body may lie where there is no mass...

    Text Solution

    |

  6. Assertion : A particle is moving on a straight line with a uniform vel...

    Text Solution

    |

  7. Statement-1 : The centre of mass of a proton and an electron, released...

    Text Solution

    |

  8. Statement-1 : The position of centre of mass of a body does not depend...

    Text Solution

    |

  9. Assertion : A shell at rest, explodes. The centre of mass of fragments...

    Text Solution

    |

  10. Assertion: A judo fighter in order to throw his opponent onto the matt...

    Text Solution

    |

  11. Assertion: The centre mass of an electron and proton, when released mo...

    Text Solution

    |

  12. Assertion : At the centre of earth, a body has centre of mass , but no...

    Text Solution

    |

  13. Assertion: When a body dropped from a height explodes in mid air, its ...

    Text Solution

    |

  14. Statement -1: It is harder to open and shut the door if we apply force...

    Text Solution

    |

  15. Statement-1 : Moment of inertia of a particle is same, whatever be the...

    Text Solution

    |

  16. Assertion : Inertia and moment of inertia are same quantities. Reaso...

    Text Solution

    |

  17. If earth shrink (without change in mass) to half it's present size. Le...

    Text Solution

    |

  18. Statement -1: Torque due to force is maximum when angle between vec r ...

    Text Solution

    |

  19. Statement-1 : Radius of gyration of a body is a constant quantity. ...

    Text Solution

    |

  20. Assertion: A ladder is more apt to slip, when you are high up on it th...

    Text Solution

    |

  21. Statement -1 : Torque is equal to rate of change of angular momentum ....

    Text Solution

    |