E-CodeSimple harmonic motion: spring or pendulum — a TI-84 Plus CE program
SHM is a TI-BASIC program for the TI-84 Plus CE. Mass on a spring or a simple pendulum released from rest at its amplitude (x = A·cos ωt; the pendulum uses small angles and g = 9.81 m/s²): angular frequency, period and frequency, then position, velocity and acceleration at any time, and the maximum speed.
What it asks for and what it shows
It asks for 4 values at its prompts, after you pick option 1 from its menu. In the example below it shows OMEGA, PERIOD, FREQ HZ, X (M), V (M/S), ACC, VMAX.
Example run
One of its oracle test cases: “mass on a spring”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Menu | option 1 |
| Input 1 | 0.5 |
| Input 2 | 200 |
| Input 3 | 0.1 |
| Input 4 | 0.3 |
| The screen shows | |
OMEGA= | 20 |
PERIOD= | 0.3141592654 |
FREQ HZ= | 3.183098862 |
X (M)= | 0.09601702867 |
V (M/S)= | 0.5588309964 |
ACC= | -38.40681147 |
VMAX= | 2 |
How it's checked
3 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 21 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Simple harmonic motion: spring or pendulum” (SHM).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
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- Projectile launched from a height
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All TI-84 Plus CE physics programs · All TI-84 Plus CE programs