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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
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
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
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
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
13_PH001
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_PH002
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_PH003
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
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
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
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
Example 13.1
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.1 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.1 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.2
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.2 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.2 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.3
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.3 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.4
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.4 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.5
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.5 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
Example 13.5 (continued)
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_FP001
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_FP002
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_FP003
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler
13_FP004
Engineering Mechanics: Dynamics, Thirteenth Edition
R. C. Hibbeler