physics

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A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure ). The pulley is a uniform disk with mass 10.4 and radius 51.0 and turns on frictionless bearings. You measure that the stone travels a distance 12.4 during a time interval of 2.80 starting from rest.

  • physics -

    h=a•t²/2
    a = 2•h/t² =2•12.4/2.8²=3.16 m/s².
    According to the Newton’s Second Law for rotation
    the torque is the moment of inertia times
    an angular acceleration
    M=I•ε,
    M = T•R.
    I=m•R²/2.
    ε =a/R.
    T•R = (m•R²/2)• (a/R)=
    = m•R• a/2.
    T= m•a/2.
    The tension is
    T=10.4•3.16/2=16.4 N.
    Forces on the stone are
    ma = mg – T,
    m = T/(g-a) =16.4/(9.8-3.16)=2.47 kg.

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    what

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