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physics

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hi, if anyone could give me any sort of help on how to solve this problem i would greatly appreciate it. thank you.

A 2.66 kg object placed on a frictionless horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 8.39 kg object. Find the magnitude of the acceleration of the two objects.

  • physics - ,

    Let M1 be the mass on the table and M2 be the mass hanging from the pulley. Let T be the tension force in the cable that connects them. Both masses accelerate at the same rate a, but in different directions.

    Solve this pair of equations. There are two unknowns, a and T.

    M1 g - T = M1 a
    T = M2 a

    Add the two equations to elimimate T
    M1 g = (M1 + M2) a
    Solve for a.

  • physics - ,

    thanks for your help drwls.

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