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Radius of gyration of disc rotating abou...

Radius of gyration of disc rotating about an axis perpendicular to its plane passing through through its centre is (If R is the radius of disc)

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A metal disc of radius R rotates with an angular velcoity omega about an axis perpendicular to its plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. Calculate the induced emf between the rim and the axis of the disc.

Find the moment of inertia of a uniform half-disc about an axis perpendicular to the plane and passing through its centre of mass. Mass of this disc is M and radius is R.

Knowledge Check

  • Circular disc of mass 2 kg and radius 1 m is rotating about an axis perpendicular to its plane and passing through its centre of mass with a rotational kinetic energy of 8 J. The angular momentum is (Js) is

    A
    8
    B
    4
    C
    2
    D
    1
  • A charge Q is uniformly distributed over the surface of non - conducting disc of radius R . The disc rotates about an axis perpendicular to its plane and passing through its centre with an angular to its plane and passing through its centre of the disc. If we keep both the amount of charge placed on the disc and its angular velocity to be constant and vary the radius of the disc then the variation of the magnetic induction at the centre of the disc will br represented by the figure:

    A
    B
    C
    D
  • Radius of gyration of a ring about a transverse axis passing through its centre is

    A
    `0.5xx` diameter of ring
    B
    diameter of ring
    C
    `2xx` diameter of ring
    D
    `"(diameter of ring)"^(2)`
  • Similar Questions

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    Calculate the radius of gyration of a cylindrical rod of mass M and length L about an axis of rotation perpendicular to its length and passing through its centre.

    The radius of gyration of a disc about an axis coinciding with a tangent in its plane is

    The radius of gyration of a disc about its axis passing through its centre and perpendicular to its plane is

    From a disc of radius R, a concentric circular portion of radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is

    One quarter sector is cut from a uniform disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. What is its moment of inertia about the axis of rotation ?