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Mechanics of Materials: An Integrated Learning System 4th Edition by Timothy A. Philpot Complete Solution Manual

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Mechanics of Materials: An Integrated Learning System 4th Edition Solution Manual by Engineering-Math.org

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Mechanics of Materials Eleventh Edition by R.C. Hibbeler Complete Solution Manual

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Mechanics of Materials 8th Edition by Beer, Johnston, DeWolf and Mazurek Complete Solution Manual

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Strength of Materials Fourth Edition by Andrew Pytel and Ferdinand Singer Featured Image

Strength of Materials 4th Edition by Andrew Pytel and Ferdinand Singer

Chapter 1: Simple Stress
Chapter 2: Simple Strain
Chapter 3:
Torsion
Chapter 4: Shear and Moment in Beams
Chapter 5: Stresses in Beams
Chapter 6: Beam Deflections
Chapter 7: Restrained Beams
Chapter 8: Continuous Beams
Chapter 9: Combined Stresses
Chapter 10: Reinforced Beams
Chapter 11: Columns
Chapter 12: Riveted, Bolted, and Welded Connections
Chapter 13: Special Topics
Chapter 14: Inelastic Action
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Purchase Complete Solution Manual of University Physics with Modern Physics 15th Edition by Young and Freedman

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University Physics with Modern Physics 15th Edition Complete Solution Guides

University Physics with Modern Physics 15th Edition by Young and Freedman Complete Solution Guides

This is a PDF copy of the complete guide to the problems and exercises of the book University Physics with Modern Physics 15th Edition by Young and Freedman. Expect the copy to be sent to your email address within 24 hours. If you have not heard from us within 24 hours, kindly send us a message to help@engineering-math.org

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Purchase Hydrology and Floodplain Analysis 5th Edition Solution Manual

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Hydrology and Floodplain Analysis Solution Manual

Hydrology and Floodplain Analysis 5th Edition Solution Guide

This is a PDF copy of the complete guide to the problems and exercises of the book Hydrology and Floodplain Analysis 5th Edition by Bedient, Huber, and Vieux. Expect the copy to be sent to your email address within 24 hours. If you have not heard from us within 24 hours, kindly send us a message to help@engineering-math.org

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College Physics by Openstax Chapter 3 Problem 2

Find the following for path B in Figure 3.52:
(a) The total distance traveled, and
(b) The magnitude and direction of the displacement from start to finish.

Figure 3.54 The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side
Figure 3.52 The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side

Solution:

Part A

The total distance traveled is 

d=(4×120m)+(3×120 m)+(3×120 m)d=1200 m  (Answer)\begin{align*} \text{d} & = \left(4 \times 120 \text{m} \right) + \left(3 \times 120\ \text{m} \right) + \left(3 \times 120\ \text{m} \right) \\ \text{d} & = 1 200\ \text{m} \ \qquad \ {\color{DarkOrange} \left( \text{Answer} \right)}\\ \end{align*}

Part B

The magnitude of the displacement is 

s=(sx)2+(sy)2s=(1×120 m)2+(3×120 m)2s=(120 m)2+(360 m)2s=379 m  (Answer)\begin{align*} \text{s} & = \sqrt{\left( s_x \right)^2+\left( s_y \right)^2} \\ \text{s} & = \sqrt{\left( 1 \times 120\ \text{m} \right)^2+ \left( 3 \times 120 \ \text{m} \right)^2} \\ \text{s} & = \sqrt{\left( 120\ \text{m} \right)^2+ \left( 360 \ \text{m} \right)^2} \\ \text{s} & = 379 \ \text{m} \ \qquad \ {\color{DarkOrange} \left( \text{Answer} \right)} \end{align*}

The direction is

θ=arctan⁡(sysx)θ=arctan⁡(360 m120 m)θ=71.6∘, N of E (Answer)\begin{align*} \theta & = \arctan \left( \frac{s_y}{s_x} \right) \\ \theta & = \arctan \left( \frac{360\ \text{m}}{120\ \text{m}} \right) \\ \theta & = 71.6^\circ , \ \text{N of E} \ \qquad {\color{DarkOrange} \left( \text{Answer} \right)}\\ \end{align*}
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