kinetics of particles

1. Module 1: Kinematics of Particles
• Kinematics: geometry of motion
• Kinetics: relation between motion & forces
• Dynamics – particle & rigid bodies
• Particle – constrained (confined to specific path)
or unconstrained
• Coordinates: rectangular (x, y, z); cylindrical
(r, θ, z); spherical (R, θ, Ф); path variables
(normal-tangential, n-t)

2. Coordinate systems

3. Rectilinear motion
• motion in straight line
• (Instantaneous) velocity & acceleration:
• Graphical:

4. Rectilinear motion (cont’d)

5. Rectilinear motion (cont’d)
• Constant acceleration (no jerk!)
• Acceleration as a function of time, velocity, displ.:

6. Example 1

7. Example 2

8. Plane curvilinear motion
• Particle planar motion along curved path
• (Instantaneous) Velocity:
• (Instantaneous) Acceleration:

9. Rectangular coordinates (x-y)
• Vector/scalar representation:

10. Rect. Coords – Projectile Motion
• Assumption: small altitude change – constant g!
• x & y motions independent; path is parabolic

11. Example 3
• .

12. Example 4
• .

13. Normal & tangential (n-t) coordinates
• Velocity & acceleration:

14. n-t coordinates (cont’d)
• Geometric representation:
• Uniform circular motion:

15. Example 5
• .