Home
Class 11
PHYSICS
A uniform rod of mass m is rotated about...


A uniform rod of mass `m` is rotated about an axis passing through point `O` as shown. Find angular momentum of the rod about rotational law.

Text Solution

Verified by Experts

`I=(m(3I)^(2))/(12)+m((l)/(2))^(2)=ml^(2)`
`L=Iomega=ml^(2)omega`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.6|4 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.7|2 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.4|11 Videos
  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a thin uniform rod of mass M, length L, about an axis passing through its centre and making an angle theta with the rod is

A uniform rod of mass 300 g and length 50 cm rotates at a uniform asngulr speed of 2 rad/s about an axis perpendicular to the rod through an end. Calculte a. the angular momentum of the rod about the axis of rotation b. the speed of thecentre of the rod and c. its kinetic energy.

Knowledge Check

  • A uniform metal rod of length L and mass M is rotating about an axis passing throuth one of the ends perpendicular to the rod with angular speed omega . If the temperature increases by t^@C then the change in its angular velocity is proportional to which of the following ? (Coefficient of linear expansion of rod =alpha )

    A
    `sqrt(omega)`
    B
    `omega`
    C
    `omega^(2)`
    D
    `1//omega`
  • if rod is rotated about an axis passing through its mid-point , the potential difference between the ends of rod is

    A
    `(BomegaL^(2))/(4)`
    B
    `(BomegaL^(2))/(2)`
    C
    `(3BomegaL^(2))/(4)`
    D
    zero
  • A uniform rod of mass m. length L, area of cross- secticn A is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity o in a horizontal plane If Y is the Young's modulus of the material of rod, the increase in its length due to rotation of rod is

    A
    `(momega^(2)L^(2))/(AY)`
    B
    `(momega^(2)L^(2))/(2AY)`
    C
    `(momega^(2)L^(2))/(3AY)`
    D
    `(2momega^(2)L^(2))/(AY)`
  • Similar Questions

    Explore conceptually related problems

    A uniform rod of length 4l and mass m is free to rotate about a horizontal axis passing through a point distant l from its one end. When the rod is horizontal its angular velocity is omega as shown in figure. calculate (a). reaction of axis at this instant, (b). Acceleration of centre of mass of the rod at this instant. (c). reaction of axis and acceleration of centre mass of the rod when rod becomes vertical for the first time. (d). minimum value of omega , so that centre of rod can complete circular motion.

    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 ā€˜v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

    A rod of mass 2 kg ad length 2 m is rotating about its one end O wth an angular velocity omega=4rad//s . Find angular momentum of the rod about the axis rotation.

    A uniform rod of mass m and length l_(0) is rotating with a constant angular speed omega about a vertical axis passing through its point of suspension. Find the moment of inertia of the rod about the axis of rotation if it make an angle theta to the vertical (axis of rotation).

    A uniform rod of length L is free to rotate about an axis passing through O . Inititally the rod is horizontal. The rod is relased from this position. Match column I with column II