Title Day 26 - Physics (1).pdf ✅

DAY 26: PHYSICS LECTURE OUTLINE • Simple Harmonic Motion • Waves and Optics • Thermodynamics • Rectilinear Motion • Curvilinear Motion • Rotational Motion You’re not lazy. You’re just full of potential energy.
DAY 26: PHYSICS SIMPLE HARMONIC MOTION You’re not lazy. You’re just full of potential energy. Hooke’s Law. This is the fundamental equation of simple harmonic motion. It expresses as F = −kx Here, F is the restoring elastic force, k is the spring constant, and x is the displacement. Also, from the second law of motion, F = ma Thus, ma = −kx ma + kx = 0
DAY 26: PHYSICS SIMPLE HARMONIC MOTION You’re not lazy. You’re just full of potential energy. From time rates, m d 2x dt + kx = 0 d 2x dt + k m x = 0 Which can be solved using higher order DE methods, x = c1 cos k m t + c2 sin k m t This equation describes the motion of a spring.