Abucket crane consists of a uniform boom of mass m = 201 kg and length l = 59.15 ft that pivots at a point on the bed of a fixed truck. the truck supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. the bucket and the worker together can be modeled as a point mass of weight 205 lb located at the endpoint of the boom. one end of a long straight boom of mass capital m and length capital l is connected to a pivot point on a truck bed. the end of the boom opposite to the truck bed is elevated such that the boom makes an angle theta with the truck bed. the boom supports a bucket and worker of combined mass lowercase m at its far endpoint.
suppose that when the boom makes an angle of 69.9 ∘ with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. find the magnitude of the angular acceleration | → α | of the system just after the crane loses power. take the rotation axis to be at the point where the boom pivots on the truck bed. use g = 9.81 m / s 2 for the acceleration due to gravity. for unit conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 n . express your answer to at least two decimal places.]