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Physics Test 75

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Physics Test 75
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    The radius of gyration of a body about an axis at a distance of 6 cm from its centre of mass is 10 cm. Then its radius of gyration about a parallel axis passing through its centre of mass will be

    Solution

    I = ICM + Md2

    ICM = I – Md2

    Mk2 = Mk'2 – Md2

    where, k and k' be the radii of gyration of the about the axis passing through the centre of mass and another axis at a distance of d = 6 cm from the centre of mass respectively.

    Mk2 = M(10)2 – M(6)2

    k2 = (10)2 – (6)2 = 64    ⇒   k = 8 cm

     

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