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Kinetics of Particles
 Free Body Diagrams
 Cylindrical Coordinates
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
1
Example 1
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
2
Example 2
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
3
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
4
Example 4
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
5
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
6
Example 6
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
7
Cylindrical Coordinates
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
8
Calculating Ψ
r
tan 
dr / d
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
9
Example 7
The boy of mas 40kg is
sliding down the spiral slide
at a constant speed such
that his position, measured
from the top of the chute,
has components
r  1.5m
  0.7 1s  t
z  0.5 ms  t
Determine the components
of force which the slide
exerts on him at the instant
t=2s. Neglect the boys size.
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
10
Example 8
The 0.5 lb particle is
guided along the circular
path using the slotted
arm guide. If the arm has
an angular velocity of 4
rad/s and an angular
acceleration of 8 rad/s2
ath the instant θ=30°,
determine the force of
the guide on the particle.
Motion occurs in the
horizontal plane.
Union College
Mechanical Engineering
ESC020: Rigid Body Mechanics
11