Question

A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.13 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 195 lb located at the end point of the boom. Suppose that when the boom makes an angle of 66.5° 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 |?| 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. |?| = rad/s²

          A bucket crane consists of a uniform boom of mass
M = 201 kg and length L = 59.13 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 195 lb located at the
end point of the boom.

Suppose that when the boom makes an angle of 66.5° 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
|?| 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.

|?| = rad/s²

A bucket crane consists of a uniform boom of mass
M = 201 kg and length L = 59.13 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 195 lb located at the
end point of the boom.

Suppose that when the boom makes an angle of 66.5° 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
|?| 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.

|?| = rad/s²

Added by Michael V.

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