Polygon Angles
This problem set deals with the internal and external angles of the polygons up to an octagon.
Resistor Shapes
In this problem set, voltages and currents in resistor nets shaped like the platonic solids are deduced using knowledge about parallel and series circuits.
Crane
The physics of a crane are explained using torque and equilibrium.
Center of Mass
All aspects of a two body elastic collision are explained from a center of mass point of view.
Dimensions
Basic geometry and mathematics are used in this problem set to explain varying properties of an ascending series of n-dimensional units.
Jumping
The interaction of the earth with a jumping person is explained using the momentum principle.
Menger Sponge
The concept of surface area is explored through the iterative processes in creating a Menger sponge.
Water Tanks
Energy conservation and introductory thermodynamics are explored using this simplified model of two colliding water tanks.
Planetoids
Varying systems of small planet like objects are explored in order to successfully apply Newton’s law of gravitation.
Semicircles
This problem set explores the momentum and energy present in balls travelling through semicircles and their relations to the semicircle’s radius.
Blocks on a Pyramid 2
Exploration of free body diagrams, two body acceleration, and newton’s laws through the system of two blocks resting on a pyramid and attached by a pulley.
Diagonals
Varying lines and diagonals in cubes and tetrahedral are examined and solved for in this series of problems.
Monty Hall Problem
The seemingly paradoxical Monty Hall problem is systematically deciphered using a series of probabilistic calculations.
Bouncing Balls
Principles of momentum are used to explain what happens when two balls of perfect elasticity are dropped from a certain height.
Compound Interest
The concept of compound interest is explored through a simulation of a high-interest bank account.