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. 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

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. 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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

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
Jā| = | 0.2177
s2
Incorrect

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.
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

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