1. 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)

2. 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)

3. Ch 13 – Kinetics of a Particle
13.2 Equation of Motion
F = ma
The resultant of the
external forces on the
particle produces
motion

4. 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

5. 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

6. 13_PH001

7. 13_PH002

8. 13_PH003

9. 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

10. 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

11. 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

12. Example 13.1

13. Example 13.1 (continued)

14. Example 13.1 (continued)

15. Example 13.2

16. Example 13.2 (continued)

17. Example 13.2 (continued)

18. Example 13.3

19. Example 13.3 (continued)

20. Example 13.4

21. Example 13.4 (continued)

22. Example 13.5

23. Example 13.5 (continued)

24. Example 13.5 (continued)

25. 13_FP001

26. 13_FP002

27. 13_FP003

28. 13_FP004

29. 13_FP005

30. 13_FP006