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Math Help - Coefficient of friction

  1. #1
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    Coefficient of friction

    Body A lies on a rough horizontal table and is connected to freely hanging bodies B and C by light inextensible strings passing over smooth pulleys.
    A is 5kg B is 3kg and C is 2kg. When the system is released from rest, the body B descends with an acceleration of 0.28. Find the coefficient of friction between body A and the table.

    Any help is much appreciated thanks
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  2. #2
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    Let T_1 = tension between mass A and B
    T_2 = tension between mass B and C

    forces acting on mass A ...

    F_{net} = m_A a

    T_1 - f_k = m_A a

    *** T_1 -  \mu  m_A g =  m_A a



    forces acting on mass B ...

    F_{net} = m_B a

    *** T_2 + m_B g - T_1 = m_B a



    forces acting on mass C ...

    F_{net} = m_C a

    *** m_C g - T_2 = m_C a


    solve the system of equations (***) for \mu
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