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An object with mass m1 = 6.00 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 8.0 kg, as shown in the figure below. Find the acceleration of each object and the tension in the cable.

  • Physics -

    There is no figure below. Kindly show your own work.

  • Physics -

    If you draw the FBD for both object separately. Then,

    Positive being up and right,
    T=m1a Eq 1
    T-m2g=-m2a Eq 2
    T= -m2a+m2g Eq 3

    Eq 3 = Eq 1

    m1a= -m2a+m2g

    since, a=x
    then, T=m1x

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