Single Particle Dynamics - 1D and 2D Worked Examples

Explore single particle dynamics through worked examples in 1D and 2D, covering conservative forces like gravity and springs. Delve into Newton's laws, projectile motion, and pendulum equations of motion. Examine 1D scenarios with no force, constant force, and position-dependent forces, including simple harmonic oscillators. Progress to 2D examples and conclude with a 3D multiple frame kinematic example. Gain a comprehensive understanding of particle dynamics applicable to space vehicle motion and engineering principles.

Syllabus

Conservative forces (forces from potential energy). Section 2.2 of Schaub and Junkins textbook (see below).
Newton's law of gravity.
Spring, Hooke's law.
1D examples of Newton’s Laws.
no force.
constant force.
position-dependent force, simple harmonic oscillator.
2D examples.
Projectile motion .
Pendulum equation of motion.
3D multiple frame kinematic example.