E-CodeRolling body on an incline — a TI-84 Plus CE program
ROLLBODY is a TI-BASIC program for the TI-84 Plus CE. Disk, hoop, sphere or any radius of gyration rolling down a slope: acceleration, friction needed, slip check, and speed and time after a distance.
What it asks for and what it shows
It asks for 4 values at its prompts. In the example below it shows A M/S2, MU MIN, F/MG, ALPHA*R, V AT D, T AT D, ROLLS, NO SLIP.
Example run
One of its oracle test cases: “solid cylinder, sticks”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 0.5 |
| Input 2 | 30 |
| Input 3 | 0.4 |
| Input 4 | 3 |
| The screen shows | |
A M/S2= | 3.27 |
MU MIN= | 0.1924500897 |
F/MG= | 0.1666666667 |
ALPHA*R= | 3.27 |
V AT D= | 4.429446918 |
T AT D= | 1.354570923 |
| Text | ROLLS, NO SLIP |
How it's checked
5 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 39 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 “Rolling body on an incline” (ROLLBODY).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Block sliding onto a spring
- Projectile with air drag (RK4)
- Slider-crank kinematics
- Oblique central impact
- Two-body orbit and Kepler's equation
All TI-84 Plus CE physics programs · All TI-84 Plus CE programs