The reel shown below has radius R and moment of inertia I. One end of the block of mass m is connected to a spring of force constant k, and the other end is fastened to a cord wrapped around the reel. The reel axle and the incline are frictionless. The reel is wound counterclockwise so that the spring stretches a distance d from its unstretched position and is then released from rest.
(a) Find the angular speed of the reel when the spring is again unstretched. (Answer using theta for θ, g for the acceleration due to gravity, and R, I, m, k, and d, as necessary.)
(b) Evaluate the angular speed numerically at this point if I = 0.50 kg·m2, R = 0.300 m, k = 50.0 N/m, m = 0.550 kg, d = 0.200 m, and θ = 37.0°.
ω = ________ rad/s
F = ma
t = Ia
The Attempt at a Solution
I got through all the other questions on my hw but this one is just giving me a rough time. I really dont know where to start on this question, could somebody please help?