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The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact is βmr2. The value of β is ______ . (Upto one decimal place)
    Correct answer is '2.8'. Can you explain this answer?
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    The moment of inertia of pairs of solid sphere each having mass m radi...

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    The moment of inertia of pairs of solid sphere each having mass m radi...
    The moment of inertia of a solid sphere about an axis passing through its center is given by the formula:

    I = (2/5) * m * r^2

    Since the spheres are in contact about a tangent passing through the point of contact, the combined moment of inertia can be found by adding the individual moments of inertia:

    I_total = I_sphere1 + I_sphere2

    I_total = (2/5) * m * r^2 + (2/5) * m * r^2

    I_total = (4/5) * m * r^2

    Therefore, the moment of inertia of the pair of solid spheres is (4/5) * m * r^2.
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    The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer?
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