A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.81 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. M Suppose that when the boom makes an angle of 66.1° 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 a of the system just after the crane loses Take the rotation axis to be at the point where the power. 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 lel = 0.2177

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 73P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00...
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A bucket crane consists of a uniform boom of mass
M = 201 kg and length L = 59.81 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.
M
Suppose that when the boom makes an angle of 66.1° 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 a 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
0.2177
Transcribed Image Text:A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.81 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. M Suppose that when the boom makes an angle of 66.1° 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 a 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 0.2177
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