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Circular Disc and Concentric circles

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CONCENTRIC CIRCLES Circles having the same centre but with different radii are said to be concentric circles.

Problems related to concentric circles

Knowledge Check

  • On a disc of radius R a concentric circle of radius R//2 is drawn. The disc is free to rotate about a frictionless fixed axis through its center and perpendicular to plane of the disc. All three forces ( in plane of the disc ) shown in figure are exerted tangent to their respective circular periphery. The magnitude of the net torque ( about centre of disc ) acting on the disc is :

    A
    `1.5FR`
    B
    `1.9FR`
    C
    `2.3FR`
    D
    `2.5FR`
  • If a circular concentric hole is made on a disc then about an axis passing through the centre of the disc and perpendicular to its plane

    A
    moment of inertia decreases
    B
    moment of inertia increases
    C
    radius of gyration increases
    D
    radius of gyration decreases
  • The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

    A
    `1:2`
    B
    `sqrt(5) : sqrt(6)`
    C
    `2:3`
    D
    `(sqrt(3))/(2)`
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    Concentric Circles & Congruent Circles

    The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

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