Problem No $2.$

If a pendulum with length $I=12$ inches is on earth and has an initial position of ${}_0=2$ what is the

maximum angular velocity, ${}_0,$ in rad$/$s that can be imparted on the system to limit the

maximum angle to be less than $10.($note: the equations can be setup and trial and error used

for the solution or you can use the solve command$)$