The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude $F$ is applied to the same ball in each system $($see the drawing$).$ The masses of the balls are $m_1=9\mathrm{.}4kg,m_2=6\mathrm{.}2kg,$ and $m_3=7\mathrm{.}2kg.$ The magnitude of the force is $F=431N.($a$)$ For each of the two systems, determine the moment of inertia about the given axis of rotation. $($b$)$ Calculate the torque $($magnitude and direction$)$ acting on each system. $($c$)$ Both systems start from rest, and the direction of the force moves with the system and always points along the $4\mathrm{.}00-m$ rod. What is the angular velocity of each system after $5\mathrm{.}80$ s $?$

$($a$)I_A=$

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$I_B=$

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$($b$){}_A=$

$N-m$

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