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Moment of inertia is the analogue of mas...

Moment of inertia is the analogue of mass in rotational motion. But unlike mass, it is not a fixed quantity. The moments of inertia of two rotating bodies A and B are ` I_A` and `I_B ` lf`( I_A> I_B)` and their angular momentum are equal. Which one has a greater kinetic energy? Explain.

Answer

Step by step text solution for Moment of inertia is the analogue of mass in rotational motion. But unlike mass, it is not a fixed quantity. The moments of inertia of two rotating bodies A and B are I_A and I_B lf( I_A> I_B) and their angular momentum are equal. Which one has a greater kinetic energy? Explain. by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Moment of inertia is the analogue of mass in rotational motion. But unlike mass, it is not a fixed quantity.Moment of inertia can be regarded as a measure of rotational inertia. Why?

Moment of inertia plays the same roll in rotational motion as mass in linear motion. The moment of inertia of a body changes when the axis of rotation changes.If the moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is (MR^2)/2) ( M is the mass of the disc and R its radius). Determine its moment of inertia about a diameter and about a tangent.

Knowledge Check

  • Moment of inertia in rotational motion is analogus to mass in linear motion.The moment of inertia of a circular disc about an axis perpendicular to the plane, at the centre is given by.

    A
    `(MR^2)/4`
    B
    `(MR^2)/6`
    C
    `(3MR^2)/2`
    D
    `(MR^2)/2`

  • Two rigid bodies A and B rotate with rotational kinetic energies E_A and E_B respectively. The moments of inertia of A and B about the axis of rotation are I_A and I_B respectively. If I_A = (I_B)/(4) and E_A = 100 E_ , the ratio of angular momentum (L_A) of A to the angular momentum (L_B) of B is

    A
    25
    B
    `5/4`
    C
    `5`
    D
    `1/4`

  • Assertion : Moment of inertia is to rotational motion what mass is to translational motion. Reason : Moment of inertia of a body is maximum about the axis passing through its centre of gravity.

    A
    If both Assertion and Reason are true and Reason is the correct explanation of Assertion
    B
    If both Assertion and Reason are true but Reason is not correct explanation of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If both Assertion and Reason are false.

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