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Rotational Motion Test - 3
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Rotational Motion Test - 3
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  • Question 1/3
    1 / -0

    A body A of mass M while falling vertically downwards under gravity breaks into two parts. A body B of mass 
    1/3 M and a body C of mass 2/3 M. The center of mass of bodies B and C taken together shifts compared to that of body A towards

    Solutions

    Since there is no horizontal external force is acting on the body
    So, acceleration of the center of mass is acm = 0 
    since vcm = 0 
    ∴ Δxcm = 0

  • Question 2/3
    1 / -0

    The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

    Solutions

    First CM goes down and then comes to its initial position. 
    Hence, option A is correct.

  • Question 3/3
    1 / -0

    A monkey of mass 20 kg rides on a 40 kg trolley moving with constant speed of 8 m/s along a horizontal track. If the monkey jumps vertically to grab the overhanging branch of a tree, the speed of the trolley in the horizontal direction after the monkey has jumped off is -

    Solutions

    Conserving momentum in the horizontal direction.

    (40 + 20) kg*8 m/s = 40 * V m/s

    where V m/s is the speed of the trolley after the monkey has grabbed the branch.

    Hence, V = 12 m/s

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