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The moment of inertia of a circular dise...

The moment of inertia of a circular dise about a tangent in its plane is ................times its moment of inertia about any diameter.

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To find the moment of inertia of a circular disk about a tangent in its plane in relation to its moment of inertia about any diameter, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find the ratio of the moment of inertia of a circular disk about a tangent in its plane (denote this as \( I_t \)) to the moment of inertia about any diameter (denote this as \( I_d \)). 2. **Moment of Inertia about Diameter**: The moment of inertia of a circular disk about its diameter is given by the formula: \[ ...
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Knowledge Check

  • The moment of inertia of semicircular ring about its centre is

    A
    `MR^(2)`
    B
    `(MR^(2))/(2)`
    C
    `(MR^(2))/(4)`
    D
    None of these

  • The moment of inertia of a circular dics about one of its diameters is l. What will be its moment of inertia about a tangent parallel to the diameter?

    A
    `4l`
    B
    `2l`
    C
    `(5l)/(2)`
    D
    `5l`

  • The moment of inertia of a circular ring about one of its diameters is I . What will be its moment of inertia about a tangent parallel to the diameter?

    A
    4 I
    B
    2 I
    C
    `(3)/(2) I`
    D
    `3 I`

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