A bucket crane consists of a uniform boom of mass

M = 201 kg and length L= 59.05 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 201 lb located at the end point of

the boom.

Suppose that when the boom makes an angle of 68.7° 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 la 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/s2 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.