A nonuniform horizontal bar of mass mmm is supported by twomassless wires against gravity. The left wire makes an angle a with thehorizontal, and the right wire makes an angle B. The bar has length L.(Figure 1)What is the position of the center of mass of the bar, measured asdistance x from the bar's left end?Express your answer in terms of a, ß, and L.a·L.mm.-XB

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Answered: What is the position of the center of…

Engineering

Mechanical Engineering

What is the position of the center of mass of the bar, measured as distance x from the bar's left end?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A nonuniform horizontal bar of mass mmm is supported by two
massless wires against gravity. The left wire makes an angle a with the
horizontal, and the right wire makes an angle B. The bar has length L.
(Figure 1)
What is the position of the center of mass of the bar, measured as
distance x from the bar's left end?
Express your answer in terms of a, ß, and L.
a
·L
.mm.
-X
B

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Step 1: Draw the free body diagram.

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Step 2: Write the net force equation along x-axis under static equilibrium condition.

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Step 3: Write the net force equation along y-axis under static equilibrium condition.

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Step 4: Take the net moment about point P under static equilibrium condition.

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