A bucket crane consists of a uniform boom of mass M = 201 kg and length...

 

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A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.63 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a 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 203 lb, located at the end point of the boom. Suppose that when the boom makes an angle of 65.9° with the horizontal truck bed, the bucket crane suddenly loses 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/s² for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Express your answer to at least two decimal places. α = L M m rad s² A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.63 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a 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 203 lb, located at the end point of the boom. Suppose that when the boom makes an angle of 65.9° with the horizontal truck bed, the bucket crane suddenly loses 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/s² for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Express your answer to at least two decimal places. α = L M m rad s²

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