Problem $3$: $(20\%$ of Assignment Value$)$

A playground merry$-$go$-$round with a mass of $135$ kg and a radius of $1\mathrm{.}9$ m is rotating with a frequency of $0\mathrm{.}52re\frac{v}{s}.$

Randomized Variables

$m_1=135kg$

$m_2=25kg$

$f_i=0\mathrm{.}52re\frac{v}{s}$

$r=1\mathrm{.}9m$

What is the magnitude of its angular velocity, in radians per second, after a $25$ kg child gets onto it by grabbing its outer edge? The child is initially at rest.