B Synthesis Lectures on Series ISSN: 2573-3168 A K H Mechanical Engineering T I Y A R O V Solving Practical Engineering Mechanics Problems Solving Practical ADVANCED KINETICS S O Sayavur I. Bakhtiyarov, New Mexico Institute of Mining and Technology L V I N Engineering Engineering Mechanics is one of the fundamental branches of science which is important G P for the education of professional engineers regardless of major. Most of the basic engineering R A C courses, such as mechanics of materials, fluid and gas mechanics, machine design, mechatronics, T I acoustics and vibrations, etc., are based on the Engineering Mechanics course. In order to C A absorb the materials of Engineering Mechanics, it is not enough to just consume theorems L Mechanics Problems E N and theoretical laws. A student also must develop an ability to solve practical problems. G I Therefore, it is necessary to solve many problems independently. The books in this series are N E designed as supplements to the Engineering Mechanics course and can be used to apply E R ADVANCED KINETICS I the principles required for solving practical engineering problems in the following branches N G of Mechanics: Statics, Kinematics, Dynamics, and Advanced Kinetics. Each book contains M E several (between 6 and 8) topics of the branch. Each topic has 30 problems to be assigned as C H homework, tests, and midterm/final exams with the consent of the instructor. A solution of A N one similar sample problem from each topic is provided. I C This fourth book in the series contains eight topics of Advanced Kinetics, which is the S P R branch of Mechanics that is concerned with the analysis of motion of both particles and O B rigid bodies with reference to the cause of the motion. This book is targeted to undergraduate L E students of the junior/senior level as well as graduate students majoring in science and M S engineering. : A D The author welcomes all feedback/comments from the reader. Please feel free to contact V A him at [email protected]. N Sayavur I. Bakhtiyarov C E D K I N E T I ABOUT SYNTHESIS C S This volume is a printed version of a work that appears in the Synthesis Digital Library of Engineering and Computer Science. Synthesis lectures provide concise original presentations of important research and development topics, published quickly in digital and print formats. For more information, visit our website: M http://store.morganclaypool.com O R G A N & Synthesis Lectures on C LA Mechanical Engineering Y store.morganclaypool.com P O O L Solving Practical Engineering Mechanics Problems: Advanced Kinetics iii Synthesis Lectures on Mechanical Engineering Synthesis Lectures on Mechanical Engineering series publishes 60–150 page publications pertaining to this diverse discipline of mechanical engineering. The series presents Lectures written for an audience of researchers, industry engineers, undergraduate and graduate students. Additional Synthesis series will be developed covering key areas within mechanical engineering. Solving Practical Engineering Mechanics Problems: Advanced Kinetics Sayavur I. Bakhtiyarov June 2019 Natural Corrosion Inhibitors Shima Ghanavati Nasab, Mehdi Javaheran Yazd, Abolfazl Semnani, Homa Kahkesh, Navid Rabiee, Mohammad Rabiee, and Mojtaba Bagherzadeh May 2019 Fractional Calculus with its Applications in Engineering and Technology Yi Yang, Haiyan Henry Zhang March 2019 Essential Engineering Thermodynamics: A Student’s Guide Yumin Zhang September 2018 Engineering Dynamics Cho W.S. To July 2018 Solving Practical Engineering Mechanics Problems: Dynamics Sayavur I. Bakhtiyarov May 2018 Solving Practical Engineering Mechanics Problems: Kinematics Sayavur I. Bakhtiyarov April 2018 Mathematical Magnetohydrodynamics Nikolas Xiros January 2018 Design Engineering Journey Ramana M. Pidaparti January 2018 Introduction to Kinematics and Dynamics of Machinery Cho W. S. To December 2017 iv Microcontroller Education: do it Yourself, Reinvent the Wheel, Code to Learn Dimosthenis E. Bolanakis November 2017 Solving Practical Engineering Mechanics Problems: Statics Sayavur I. Bakhtiyarov October 2017 Resistance Spot Welding: Fundamentals and Applications for the Automotive Industry Menachem Kimchi and David H. Phillips October 2017 Unmanned Aircraft Design: Review of Fundamentals Mohammad Sadraey September 2017 Introduction to Refrigeration and Air Conditioning Systems: Theory and Applications Allan Kirkpatrick September 2017 MEMS Barometers Toward Vertical Position Detection: Background Theory, System Prototyping, and Measure- ment Analysis Dimosthenis E. Bolanakis May 2017 Engineering Finite Element Analysis Ramana M. Pidaparti May 2017 Copyright © 2019 by Morgan & Claypool All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means—electronic, mechanical, photocopy, recording, or any other except for brief quotations in printed reviews, without the prior permission of the publisher. Solving Practical Engineering Mechanics Problems: Advanced Kinetics Sayavur I. Bakhtiyarov www.morganclaypool.com ISBN: 9781681735856 Paperback ISBN: 9781681735863 ebook ISBN: 9781681735870 Hardcover DOI 10.2200/S00924ED1V04Y201905MEC019 A Publication in the Morgan & Claypool Publishers series SYNTHESIS LECTURES ON MECHANICAL ENGINEERING, #19 Series ISSN: 2573-3168 Print 2573-3176 Electronic Solving Practical Engineering Mechanics Problems: Advanced Kinetics Sayavur I. Bakhtiyarov New Mexico Institute of Mining and Technology SYNTHESIS LECTURES ON MECHANICAL ENGINEERING #19 M &C MORGAN & CLAYPOOL PUBLISHERS viii ABSTRACT Engineering Mechanics is one of the fundamental branches of science which is important for the education of professional engineers regardless of major. Most of the basic engineering courses, such as mechanics of materials, fluid and gas mechanics, machine design, mechatronics, acoustics and vibrations, etc., are based on the Engineering Mechanics course. In order to absorb the materials of Engineering Mechanics, it is not enough to just consume theorems and theoretical laws. A student also must develop an ability to solve practical problems. Therefore, it is necessary to solve many problems independently. The books in this series are designed as supplements to the Engi- neering Mechanics course and can be used to apply the principles required for solving practical engineering problems in the following branches of Mechanics: Statics, Kinematics, Dynamics, and Advanced Kinetics. Each book contains several (between 6 and 8) topics of the branch. Each topic has 30 problems to be assigned as homework, tests, and midterm/final exams with the consent of the instructor. A solution of one similar sample problem from each topic is provided. This fourth book in the series contains eight topics of Advanced Kinetics, which is the branch of Mechanics that is concerned with the analysis of motion of both particles and rigid bodies with reference to the cause of the motion. This book is targeted to undergraduate students of the junior/senior level as well as graduate students ma- joring in science and engineering. KEYWORDS velocity, acceleration, force, moment, momentum, impulse, energy, work