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Two masses m(1) and m(2) are attached to...

Two masses `m_(1)` and `m_(2)` are attached to the ends of a light rod of length `l`.The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is `(m_(1)=m` and `m_(2)` `=2m)`

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Knowledge Check

  • A light rod of length l has two masses m_(1) and m_(2) attached to its two ends . The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

    A
    `(m_1 m_2 )/(m_(1) + m_(2)) "" l^(2)`
    B
    `(m_1 + m_2)/(m_1 m_2) ""l^(2)`
    C
    `(m_(1) + m_(2)) l^2`
    D
    `sqrt(m_(1) m_(2)) l^(2)`

  • A light rod of length l has two masses m_1 and m_2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.

    A
    `(m_1 + m_2) l^2`
    B
    `sqrt(m_1 m_2) l^2`
    C
    `(m_1 m_2)/(m_1 + m_2) l^2`
    D
    `(m_1 + m_2)/(m_1 m_2) l^2`

  • Two point size bodies of masses 2kg, 3kg are fixed at two ends of a light rod of length 1m . The moment of inertia of two bodies about an axis perpendicular to the length of rod and passing through centre of mass of two bodies is

    A
    `0.6 kgm^(2)`
    B
    `0.8 kgm^(2)`
    C
    `kgm^(2)`
    D
    `1.2 kgm^(2)`

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