The 150lb car of an amusement park ride is connected to a rotating telescopic boom.
(A) When r = 17ft , the car is moving on a horizontal circular path with a speed of 32ft/s . If the boom is shortened at a rate of 3ft/s , determine the speed of the car when r = 10ft . Neglect the size of the car and the mass of the boom.
(B) Also, find the work done by the axial force F along the boom.