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Ch 13 Notes, Part 1 – Kinetics of a Particle 13.1 Newton’s Second Law of Motion • mass = F/a • Eq. based on experimental Evidence • mass is particle’s inertia • W = mg • g = 9.81 m/s2 (SI) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.1 Newton’s Second Law of Motion • mass = F/a • mass is particle’s inertia • W = mg • g = 32.2 ft/s2 Engineering) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.2 Equation of Motion • F = ma • The resultant of the external forces on the particle produces motion Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.2 Equation of Motion • Need an inertial frame of reference • Earth is usually OK • Otherwise use a star Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.2 Equation of Motion • We’ll usually use these two types of diagrams: a free-body diagram, and a kinetic diagram Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_PH001 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_PH002 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_PH003 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.3 System of Particles • The sum of the internal forces, fi = 0. So, we deal with external forces Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.3 System of Particles • We can treat each particle in the system this way • In the end, we can summarize everything and just deal with the center of mass and how it moves Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Ch 13 – Kinetics of a Particle 13.4 Rectangular Coordinates Sometimes it’s easier to analyze a system if we base its forces and motion(s) in rectangular coordinates • Fx = m*ax • Fy = m*ay • Fz = m*az Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.1 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.1 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.1 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.2 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.2 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.2 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.3 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.3 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.4 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.4 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.5 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.5 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. Example 13.5 (continued) Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP001 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP002 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP003 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP004 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP005 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved. 13_FP006 Engineering Mechanics: Dynamics, Thirteenth Edition R. C. Hibbeler Copyright ©2013 by Pearson Education, Inc. All rights reserved.