A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.75 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a @ Macmillan Learning worker inside at the other end of the boom, as shown in the figure. Model the bucket and the worker together as a point mass of weight 201 1b, located at the end point of the boom. L Suppose that when the boom makes an angle of 66.5 with the horizontal truck bed, the bucket crane suddenly loses M power, causing the bucket and boom to rotate freely toward the ground. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9.81 m/s for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and 1 1b = 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. a = Express your answer to three decimal places