Figure \( 10-66 \) shows a uniform disk that can rotate around its center like a merry-goround. ...

Figure \( 10-66 \) shows a uniform disk that can rotate around its center like a merry-goround. The disk has a radius of \( 2.00 \mathrm{~cm} \) and a mass of \( 20.0 \) grams and is initially at Figure 10-66
rest. Starting at time \( t=0 \), two forces are to be applied tangentially to the rim as indicated, so that at time \( t= \) \( 1.25 \mathrm{~s} \) the disk has an angular velocity of \( 250 \mathrm{rad} / \mathrm{s} \) counterclockwise. Force \( \vec{F}_{1} \) has a magnitude of \( 0.100 \mathrm{~N} \). What is magnitude \( F_{2} \) ?