A bucket crane consists of a uniform boom of mass ?=201 kg and length ?=59.89 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 65.1∘ 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 ||?⃗ || 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 ?=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.
A bucket crane consists of a uniform boom of mass ?=201 kg and length ?=59.89 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 65.1∘ 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 ||?⃗ || 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 ?=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.
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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Question
A bucket crane consists of a uniform boom of mass ?=201 kg and length ?=59.89 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 65.1∘ 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 ||?⃗ || 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 ?=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.
||?⃗ ||
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