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Four particles each of mass m are kept a...

Four particles each of mass m are kept at the four corners of a square of edge a. Find the moment of inertia of the system about an axis perpendicular to the plane of the system and passing through the centre of the square.

Text Solution

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The correct Answer is:
`2 ma^(2)`
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Knowledge Check

  • Four spheres, each of mass and radius are situated at the four corners of square of side . The moment of inertia of the system about an axis perpendicular to the plane of square and passing through its centre will be

    A
    `(5)/(2)M(4r^(2)+5R^(2))`
    B
    `(2)/(5)M(4r^(2)+5R^(2))`
    C
    `(2)/(5)M(4r^(2)+5r^(2))`
    D
    `(5)/(2)M(4r^(2)+5r^(2))`

  • Four particles each of mass m are placed at the corners of a square of side length l . The radius of gyration of the system about an axis perpendicular to the plane of square and passing through its centre is

    A
    `l/(sqrt(2))`
    B
    `l/2`
    C
    `l`
    D
    `sqrt(2)l`

  • Four particles each of mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is

    A
    `(l)/(sqrt(2))`
    B
    `(l)/(2)`
    C
    `l`
    D
    `(sqrt(2))l`

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