Student's name:

Problem $1(21$ points$)$:

a$)$ Find the net torque on the $2(2)$ wheel in the figure about the axle through $O,$ both the magnitude and the sign. Let

$F_1=9\mathrm{.}80N,F_2=8\mathrm{.}10N,a=$

$0\mathrm{.}110m$ and $b=0\mathrm{.}230m.$

b$)$ Suppose now the wheel spinning at $10\mathrm{.}9ra\frac{d}{s}$ in the counterclockwise direction comes to rest in $5\mathrm{.}50$ seconds under the influence of this torque. How many revolutions does the wheel make in this time?

Present your answers with the precision of three significant figures.