Born in France and educated in France and Switzerland, Ferdinand Beer held an M.S. degree from the Sorbonne and an Sc.D. degree in theoretical mechanics from the University of Geneva. He came to the United States after serving in the French army during the early part of World War II and taught for four years at Williams College in the Williams-MIT joint arts and engineering program. Following his service at Williams College, Beer joined the faculty of Lehigh University, where he taught for thirty-seven years. He held several positions, including the University Distinguished Professors Chair and Chairman of the Mechanical Engineering and Mechanics Department. In 1995, Beer was awarded an honorary Doctor of Engineering degree by Lehigh University. Born in Philadelphia, Russ holds a B.S. degree in civil engineering from the University of Delaware and an Sc.D. degree in the field of structural engineering from The Massachusetts Institute of Technology (MIT). He taught at Lehigh University and Worchester Polytechnic Institute (WPI) before joining the faculty of the University of Connecticut where he held the position of Chairman of the Civil Engineering Department and taught for twenty-six years. In 1991 Russ received the Outstanding Civil Engineer Award from the Connecticut Section of the American Society of Civil Engineers. Phillip J. Cornwell holds a B.S. degree in mechanical engineering from Texas Tech University and M.A. and Ph.D. degrees in mechanical and aerospace engineering from Princeton University. He is currently a professor of mechanical engineering at Rose-Hulman Institute of Technology, where he has taught since 1989. His present interests include structural dynamics, structural health monitoring, and undergraduate engineering education. Cornwell spends his summers working at Los Alamos National Laboratory, where he is a mentor in the Los Alamos Dynamics Summer School and does research in the area of structural health monitoring. He received an SAE Ralph R. Teetor Educational Award in 1992, the Dean's Outstanding Scholar Award at Rose-Hulman in 2000, and the Board of Trustees Outstanding Scholar Award at Rose-Hulman in 2001. Brian Self obtained his B.S. and M.S. degrees in Engineering Mechanics from Virginia Tech, and his Ph.D. in Bioengineering from the University of Utah. He worked in the Air Force Research Laboratories before teaching at the U.S. Air Force Academy for seven years. Brian has taught in the Mechanical Engineering Department at California Polytechnic State University, San Luis Obispo, since 2006. He has been active in the American Society of Engineering Education, serving on its Board from 2008-2010. With a team of five, Brian developed the Dynamics Concept Inventory to help assess student conceptual understanding. His professional interests include educational research, aviation physiology, and biomechanics.

• 11) Kinematics of Particles12) Kinetics of Particles: Newton's Second Law13) Kinetics of Particles: Energy and Momentum Methods14) Systems of Particles15) Kinematics of Rigid Bodies16) Plane Motion of Rigid Bodies: Forces and Accelerations17) Plane Motion of Rigid Bodies: Energy and Momentum Methods18) Kinetics of Rigid Bodies in Three Dimensions19) Mechanical VibrationsAppendix A: Some Useful Definitions and Properties of Vector AlgebraAppendix B: Mass Moment of InertiaAppendix C: Fundamentals for Engineering CoursesAppendix D: SI Unit ReferencesAnswers to ProblemsIndexProperties of Geometric Shapes

Born in France and educated in France and Switzerland, Ferdinand Beer held an M.S. degree from the Sorbonne and an Sc.D. degree in theoretical mechanics from the University of Geneva. He came to the United States after serving in the French army during the early part of World War II and taught for four years at Williams College in the Williams-MIT joint arts and engineering program. Following his service at Williams College, Beer joined the faculty of Lehigh University, where he taught for thirty-seven years. He held several positions, including the University Distinguished Professors Chair and Chairman of the Mechanical Engineering and Mechanics Department. In 1995, Beer was awarded an honorary Doctor of Engineering degree by Lehigh University. Born in Philadelphia, Russ holds a B.S. degree in civil engineering from the University of Delaware and an Sc.D. degree in the field of structural engineering from The Massachusetts Institute of Technology (MIT). He taught at Lehigh University and Worchester Polytechnic Institute (WPI) before joining the faculty of the University of Connecticut where he held the position of Chairman of the Civil Engineering Department and taught for twenty-six years. In 1991 Russ received the Outstanding Civil Engineer Award from the Connecticut Section of the American Society of Civil Engineers. Phillip J. Cornwell holds a B.S. degree in mechanical engineering from Texas Tech University and M.A. and Ph.D. degrees in mechanical and aerospace engineering from Princeton University. He is currently a professor of mechanical engineering at Rose-Hulman Institute of Technology, where he has taught since 1989. His present interests include structural dynamics, structural health monitoring, and undergraduate engineering education. Cornwell spends his summers working at Los Alamos National Laboratory, where he is a mentor in the Los Alamos Dynamics Summer School and does research in the area of structural health monitoring. He received an SAE Ralph R. Teetor Educational Award in 1992, the Dean's Outstanding Scholar Award at Rose-Hulman in 2000, and the Board of Trustees Outstanding Scholar Award at Rose-Hulman in 2001. Brian Self obtained his B.S. and M.S. degrees in Engineering Mechanics from Virginia Tech, and his Ph.D. in Bioengineering from the University of Utah. He worked in the Air Force Research Laboratories before teaching at the U.S. Air Force Academy for seven years. Brian has taught in the Mechanical Engineering Department at California Polytechnic State University, San Luis Obispo, since 2006. He has been active in the American Society of Engineering Education, serving on its Board from 2008-2010. With a team of five, Brian developed the Dynamics Concept Inventory to help assess student conceptual understanding. His professional interests include educational research, aviation physiology, and biomechanics.

• 11) Kinematics of Particles12) Kinetics of Particles: Newton's Second Law13) Kinetics of Particles: Energy and Momentum Methods14) Systems of Particles15) Kinematics of Rigid Bodies16) Plane Motion of Rigid Bodies: Forces and Accelerations17) Plane Motion of Rigid Bodies: Energy and Momentum Methods18) Kinetics of Rigid Bodies in Three Dimensions19) Mechanical VibrationsAppendix A: Some Useful Definitions and Properties of Vector AlgebraAppendix B: Mass Moment of InertiaAppendix C: Fundamentals for Engineering CoursesAppendix D: SI Unit ReferencesAnswers to ProblemsIndexProperties of Geometric Shapes