For a given value $m_1$ for the cart mass, determine the value $m_2$ for the cylinder mass which results in equilibrium of the system. Neglect all friction. Evaluate your expression for $=19,50,$ and $71.$

Answers:

$=19$:$,m_2=$

$m_1$

$=50$:$,m_2=$

$m_1$

$=71$:$,m_2=$

$m_1$