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Thread: 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 $\displaystyle T_1$ = tension between mass A and B
    $\displaystyle T_2$ = tension between mass B and C

    forces acting on mass A ...

    $\displaystyle F_{net} = m_A a$

    $\displaystyle T_1 - f_k = m_A a$

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



    forces acting on mass B ...

    $\displaystyle F_{net} = m_B a$

    *** $\displaystyle T_2 + m_B g - T_1 = m_B a$



    forces acting on mass C ...

    $\displaystyle F_{net} = m_C a$

    *** $\displaystyle m_C g - T_2 = m_C a$


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