(Solved): The drum in Figure \( 1.0 \) below has a mass moment of inertia of \( 32 \mat ...

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The drum in Figure \( 1.0 \) below has a mass moment of inertia of \( 32 \mathrm{~kg} \cdot \mathrm{m}^{2} \). A mass of \( 6 \mathrm{~kg} \) is attached to the cord which is wrapped around the drum. Neglecting frictional resistance, determine the time taken for the mass to drop \( 3.5 \mathrm{~m} \) after being released from rest, and the tension in the chord. The radius of the winding drum is \( 0.6 \mathrm{~m} \). \[ \Gamma=F r \] Figure \( 1.0 \)