Classical Mechanics (Spring-Mass Oscillators)
Reference: Logan, A First Course in Differential Equations, 3rd ed., §2.1 "Classical Mechanics (Spring-Mass Oscillators)", pp. 79-84
Textbook Reference
| Primary source | Logan, A First Course in Differential Equations, 3rd ed., §2.1 “Classical Mechanics (Spring-Mass Oscillators)”, pp. 79-84 |
| Read this week | Week 4 of the quarter: pages 79 to 84 |
Bring your copy of Logan to this topic. The section and pages above are the exact reading for this skill.
Objectives
By the end of this section you should be able to:
- Translate Newton’s second law into a second-order equation m x double prime equals a force
- Solve the simple harmonic oscillator and find the natural frequency
- Set up the damped oscillator and read the role of the damping coefficient
- Use the energy method and the mechanical to electrical analogy with an RCL circuit
Prerequisite Check
Before this section, make sure you are comfortable with:
- Differentiation and integration of exponential and trigonometric functions
- Newton’s second law, force equals mass times acceleration
- Basic ideas of kinetic and potential energy
Status
This is a guided stub: it gives you the exact Logan reading with page numbers, the week it lands in the quarter, the learning targets, and what to review first. The full worked examples and the leveled practice set for this section are being written and will appear here.