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    Kinetics of Particles: Work and Energy

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    Two blocks A and B, of mass 5 kg and 6kg respectively, are connected by a cord which passes over pulleys as shown. A collar C, of mass 4kg, is placed on block and the system is released from rest. After the blocks have moved through 0.9m, collar C is removed and the blocks continue to move. Determine the velocity of block A just before it strikes the ground.

    Numbers in FIG. P13.26 from top to bottom are: 0.3m, 0.6m, and 1.5m.
    Letters in FIG. P13.26 from top to bottom are: C, A, and B.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:41 pm ad1c9bdddf
    https://brainmass.com/engineering/manufacturing-engineering/kinetics-particles-work-energy-159309

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    Given:
    m_A = 5 kg
    m_B = 6 kg
    m_C = 4 kg

    The motion is in two parts:

    Part (i): Collar C and block A are together and fall height h_1 = 0.9 from rest till collar C is removed.
    At this moment the speed of motion of the A and B is v_1

    Part (ii): Block A falls
    h_2 = 1.5m - 0.3m = 1.2 m
    till it hits the ground.
    Just before it hits the speed of motion of the A and B is v_2

    Solution:

    In Part (i), we address the system consisting of all the 3 masses together.
    The change in its potential energy ...

    Solution Summary

    This solution contains step-by-step calculations to determine the velocity of block A just before it strikes the ground using the concepts of potential energy, kinetic energy and the conservation of energy principle.

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