Simple Harmonic Motion (SHM) Simulation

Spring-Mass System

This simulation demonstrates Simple Harmonic Motion using a spring-mass system. The mass oscillates back and forth, showing the relationship between position, velocity, and acceleration over time.

Equilibrium1kgx = 50.0 cm

Current Values

0.00 s
50.0 cm
0.00 m/s
-4.93 m/s²
0.000 J
1.250 J

Real-time Graphs

Position vs Time

0.33m-0.33mPosition (m)Time (s)0s1s2s3s4s

Velocity vs Time

0.5m/s-0.5m/sVelocity (m/s)Time (s)0s1s2s3s4s

Acceleration vs Time

2m/s²-2m/s²Acceleration (m/s²)Time (s)0s1s2s3s4s

Simulation Parameters

cm
Hz
kg
N/m
°
2.00 s
T = 1/f
3.14 rad/s
ω = 2πf
1.250 J
E = KE + PE
0.503547398115984 Hz
f₀ = √(k/m)/2π