a merry-go-round r=2m, initially at rest is given a constant tangential push that depends on time. F(t) =β(t) applied on the rim. β=10N/s, The moment of inertia of the pulley is 2 kg-m^2
a) Calculate angular acceleration as a function of time
b) Angular displacement of the wheel between 0-4 seconds
c) work done by the net torques during the same period.