Question

A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.01 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 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 $|vec{alpha}|$ 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 $g = 9.81 ext{ m/s}^2$ 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. $|vec{alpha}|$ = ( ext{ }frac{rad}{s^2} )

          A bucket crane consists of a uniform boom of mass
M = 201 kg and length L = 59.01 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
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
$|vec{alpha}|$ 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 $g = 9.81 	ext{ m/s}^2$ 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.
$|vec{alpha}|$ = (
	ext{ }frac{rad}{s^2}
)

$A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.01 ft that pivots at a point on the bed of a fixed truck. The truck supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. The bucket and the worker together can be modeled as a point mass of weight 205 lb located at the end point of the boom. Suppose that when the boom makes an angle of 68.7° with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Find the magnitude of the angular acceleration |vecalpha| of the system just after the crane loses power. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9.81 ext m/s^2 for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N. Express your answer to at least two decimal places. |vecalpha| = ( ext fracrads^2 )$

Added by Vickie H.

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