PYQ Vault
EbooksTutor

Moment of inertia of a standard body about a tangent or a parallel axis

This type of question, asked 5 times: 28 Jun 2022, 25 Jan 2023, 1 Feb 2023, 2 Apr 2025, 22 Jan 2026 S1. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    28 Jun 2022

    4
    Match List-I with List-II.
    List-IList-II
    (A)Moment of inertia of solid sphere of radius RR about any tangent(I)53MR2\frac{5}{3}MR^{2}
    (B)Moment of inertia of hollow sphere of radius RR about any tangent(II)75MR2\frac{7}{5}MR^{2}
    (C)Moment of inertia of circular ring of radius RR about its diameter(III)14MR2\frac{1}{4}MR^{2}
    (D)Moment of inertia of circular disc of radius RR about any diameter(IV)12MR2\frac{1}{2}MR^{2}
    Choose the correct answer from the options given below:

    Tap an option to check your answer.

  2. Question 2

    25 Jan 2023

    24
    ICMI_{CM} is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. IABI_{AB} is its moment of inertia about an axis ABAB perpendicular to plane and parallel to axis CMCM at a distance 23R\frac{2}{3}R from center. Where RR is the radius of the disc. The ratio of IABI_{AB} and ICMI_{CM} is x:9x:9. The value of xx is____

  3. Question 3

    25 Jan 2023

    117
    If a solid sphere of mass 5 kg5\text{ }kg and a disc of mass 4 kg4\text{ }kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be x7\frac{x}{7}. The value of xx is

  4. Question 4

    1 Feb 2023

    114
    Moment of inertia of a disc of mass MM and radius ' RR ' about any of its diameter is MR24\frac{MR^{2}}{4}. The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, x2MR2\frac{x}{2}MR^{2}. The value of xx is

  5. Question 5

    2 Apr 2025

    78
    The moment of inertia of a circular ring of mass MM and diameter r about a tangential axis lying in the plane of the ring is :

    Tap an option to check your answer.

  6. Question 6

    22 Jan 2026 S1

    1
    A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm . The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ____\_\_\_\_ kg.m2kg.m^{2}.

    Tap an option to check your answer.