mechanics

Mass-Spring Oscillator

Investigate damped and undamped simple harmonic motion. Adjust mass, spring constant, amplitude, and damping to see how period, frequency, and energy evolve with a realistically coiled 3D spring.

SHM Oscillator

Both

Simple harmonic motion occurs when the restoring force is proportional to displacement: F = −kx. The period depends only on mass and spring constant. Damping causes amplitude to decay exponentially.

Mass1.0kg

Spring Constant50N/m

Amplitude1.5m

Damping0.3

📐 Formulas

\omega = \sqrt{\frac{k}{m}}Natural frequency of oscillation

T = 2\pi\sqrt{\frac{m}{k}}Time for one complete oscillation

x = A e^{-\gamma t} \cos(\omega_d t)Damped harmonic motion

E = \frac{1}{2}kA^2Total mechanical energy

📋 Syllabus

AQA3.6.1.2

EdexcelTopic 13

OCR5.3.1