1. Dynamics FE Review Session Adapted from the following references:
NCEES Reference Handbook v. 9.1
FE Review Manual, M.R. Lindeburg, Professional Publications

2. Kinematics
Study of a body’s motion independent of the forces on the body – geometry of motion.
Fundamental kinematic equations:

3. Rectilinear motion – motion along a straight line
Equations of rectilinear motion
Constant a = a0 (another place in reference)

4. Curvilinear motion – motion along a curved path
Curvilinear motion coordinate systems
Rectangular (Cartesian) coordinates
For a = constant, equations on previous slide can be
applied in the x, y, and z directions.

5. Normal and tangential (path) coordinates

6. Radial and transverse coordinates

7. Special curvilinear motion situations
Plane circular motion – motion along a circular path
Constant α = α0

8. Projectile motion

9. Example problems:

22. Particle Kinetics
Kinetics is the study of motion and the forces that cause the motion

23. Direct application of Newton’s second law

24. Be careful on units Force: Mass: Acceleration: SI: N US: lb SI: kg
US: slug (lb-sec2/ft)
Acceleration:
SI: m/s2
US: ft/s2

25. Avoid the use of pound mass (lbm)
NCEES Handbook does not appear to use lbm in the dynamics section
Popular study guide does use lbm
lbm
32.2 ft/sec2

26.  Rectangular coordinates etc. for y and z
Tangential and normal coordinates
Radial and transverse coordinates 
etc. for y and z

27. Example problems:

39. Impulse and momentum methods
Linear impulse and momentum

40. Conservation of linear momentum applied to direct central impacts
Fig 3-17 Meriam and Kraige, 7th, Wiley

41. Angular impulse and momentum - particle
Fig 3-14 Meriam and Kraige, 7th, Wiley O x y

42. Work and energy methods – particle
Kinetic energy
Gravitational potential energy
Elastic potential energy

43. Example problem:

46. Free vibrations

47. Example problem:

48. n

49. Plane Motion of a Rigid Body
Types of rigid body motion - kinematics
Fig 5-1 Meriam and Kraige, 7th, Wiley

50. Fixed axis rotation
Fig 5-1 Meriam and Kraige, 7th, Wiley

51. Wheel rotating without slip
Fig 5-1 Meriam and Kraige, 7th, Wiley

52. Instantaneous center of zero velocity
1. Identify directions of velocity vectors of two points.
2. At these two points draw lines perpendicular to the velocity vectors.
3. These lines intersect at the IC, point C.
Fig 5-1 Meriam and Kraige, 7th, Wiley

53. Kinetics of plane motion of a rigid bodyx y
Fig 6/4 Meriam and Kraige, 7th, Wiley

54. Sometimes it is more convenient to take moments about an arbitrary point, P.
Fig 6/5 Meriam and Kraige, 7th, Wiley
If point P is fixed

55. FE exam format for these equations:
Parallel axis theorem:

56. Torsional vibration:

58. Example problems:

73. Work and energy applied to a rigid body
Kinetic energy
Gravitational potential energy
Elastic potential energy

74. Impulse and momentum applied to a rigid body

75. Example problems: