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Calculate the moment of inertia of a dis...

Calculate the moment of inertia of a disc about its any diameter ?

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To calculate the moment of inertia of a disc about its diameter, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to find the moment of inertia (I) of a disc of mass \( m \) and radius \( r \) about any of its diameters. 2. **Define Axes**: Consider the disc lying in the xy-plane with its center at the origin. The z-axis is perpendicular to the disc, passing through the center. The x and y axes are along the diameters of the disc. ...
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Knowledge Check

  • If temperature increases, the moment of inertia of a solid sphere about its diameter

    A
    increases
    B
    decreases
    C
    remains unchanged
    D
    becomes negative

  • The moment of inertia of a circular disc about its diameter is 500 kg m^(2) . If its radius is 2 m, than its radius of gyration is

    A
    1 m
    B
    2 m
    C
    `2sqrt(2)m`
    D
    4 m

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    Moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is frac (1)(2)MR^2 . Determine the moment of inertia of this disc about its diameter and about a tangent perpendicular to its plane.

    The moment of inertia of a uniform ring about an axis passing through its centre and perpendicular to its plane is 100kgm^(2) . What is the moment of inertia of the ring about its diameter ?

    Assuming he expression for the moment of inertia of a thin disc about its diameter, show that the moment of inertia of the disc about a tangent in its plane is (5)/(4)MR^(2)

    The Moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 1 / 2 MR^2 . Derive the values of moment of inertia of the disc about its diameter and about an axis tangential to the disc lying on its plane ?

    Calculate the moment of inertia of a disc of radius R and mass M, about an axis passing through its centre and perpendicular to the plane.

    Calculate the moment of inertia of a : (a)Disc about an axis passing through its edge and perpendicular to the circular base of the disc. (b) Solid sphere about an axis touching the sphere at its surface?

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