Prelab Problems$-$ Torque

Problem $1$

Find the torque created at the center of the Yo$-$yo shaped device due to the applied force Fapp $=140N$ acting at the outer radius $R=0\mathrm{.}5m$ and the mass hanging from the rope $=30kg$ at the inner radius $r=0\mathrm{.}2$ m $.$ Indicate the direction of the torque.

Problem $2$

Find the missing value for the following cases to maintain equilibrium $*$

a$)$

b$)$

c$)$

d$)$ For case $($c$)$ what will be the reaction, $R$ at the pivot?