Three forces act on a disk that is mounted on a frictionless axle. a$)$ Find the torque due to each force. b$)$ What is the net torque? F$1=120$ N c$)$ If the moment of inertia of the disk is $0\mathrm{.}65$ kgm$2,$ what is the angular acceleration? $($The radii at which the forces are applied are $10$ cm and $30$ cm$.)$ d$)$ If the disk begins from rest, how long does it take for the angular F$2=70$ N F$3=50$ N speed to reach $70$ rad$/$s$?$