MechanicsMania

Founded by for the purpose of advancing and easing physics knowledge.

A workbench for calculus-based mechanics. Solve the problem, watch the scenario run, then read back the derivation.

Figure 1. Vertical ascent under constant thrust — net force, acceleration, and the kinematics that follow from them.
Figure 2. Newton's cradle — momentum and kinetic energy conserved across an elastic collision chain.
STEP 01

Choose the physics

Sixteen chapters, opening with the multi-concept scenarios that recur on the exam and working back through the ideas they are built from.

STEP 02

Enter what you know

Answer a short sequence of questions. Leave anything you weren't given blank — the solver works around the gaps.

STEP 03

See it, then follow it

The scenario animates alongside the answer, and the derivation unfolds step by step as you scroll.

Contents

What are you working on?

Each chapter solves for any quantity you're missing, given whatever else you know.

Picking the right setup narrows down which quantities matter.

Before you start

Key

Setting up

What are you solving for?

Choose the unknown. Everything else becomes an input.

Press Enter to continue. Skip anything the problem didn't give you.

Net force

List every force acting on the object

Use negative values for forces pointing against your chosen positive direction.

ΣF = 0.00 N

Relationship used
Derived from
Sandbox ·

Sandbox

Plot the data

Pick any two recorded quantities. Choose a transform to straighten a curve, and the slope of the resulting line is the constant you are after — the method the experimental-design question asks for.

Founder

Abdullah Zahir

hi, i’m abdullah.

  • i love learning languages
  • i have like a gazillion cousins
  • biggest CR7 fan ever
  • like physics (shoutout dr. sloane, mr. j, mr. mannino and marcy the cat)
  • pcti stem ’27 graduating class
  • fav anime: violet evergarden
  • lowk got into hiking, my fav nearby: delaware water gap
  • dream destination: Mecca
  • developed MechanicsMania + a few other things for fun
  • contact me on ig if you have any feedback

other projects

Minigame

Minigames

Moments of inertia

Where each moment of inertia comes from

Every one of these is an integral, not a fact to memorise. Choose a body to see the mass element, the set-up, and the evaluation.

Theorems that save you an integral

Derivation

    Formula reference

    Formula reference

    The relationships worth having in front of you, grouped by exam unit. Percentages are the share of the multiple-choice section each unit carries.