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Radius of gyration of a standard body about a given axis

This type of question, asked 6 times: 26 Jul 2022, 24 Jan 2023, 6 Apr 2023, 15 Apr 2023, 5 Apr 2024, 28 Jan 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    26 Jul 2022

    112
    The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ____\_\_\_\_ m. Given, the length of the rod is 103 m10\sqrt{3}\text{ }m.

  2. Question 2

    24 Jan 2023

    26
    Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm5\text{ }cm then its radius of gyration about PQ will be x cm\sqrt{x}\text{ }cm. The value of xx is___

  3. Question 3

    6 Apr 2023

    114
    A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of rotation is perpendicular to plane of ring. The ratio of radius of ring to that of sphere is 2x\sqrt{\frac{2}{x}}. The value of xx is___

  4. Question 4

    15 Apr 2023

    25
    A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively (ksph:kcyl)\left( k_{sph}:k_{cyl} \right) is 2:x2:\sqrt{x}, then value of xx is___

  5. Question 5

    5 Apr 2024

    11
    Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis ABAB as shown in figure is 8x\sqrt{\frac{8}{x}}. The value of xx is:

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  6. Question 6

    28 Jan 2026 S1

    23
    A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from its center. The radius of gyration about this axis is n cm\sqrt{n}\text{ }cm. The value of nn is