Wolfram Demonstrations / mathematica simulations

derivative: (i) tangent vs. secant; (ii) tangent

integral: (i) single function; (ii) multiple functions

(linear) motion graphs

projectile motion: 3D: dynamic; static / me: excel & rotatable graph;

2D / trajectory as a function of angle; as preceding with variable height

relate unit circle & sin, cos, & tan; alt

vectors - dot product

conservation of mechanical energy

GPE of various objects at different locations

KE vs PE of falling object

relate PE, KE, ME - sling shot

gravity / spring relate PE, KE, ME (me)

relate PE and force (me; adapt)

relate ME, PE, KE, and position for spring system ("good", but subtile)

vertical circular motion; PE, KE, velocity

center of mass

system of n objects

translational / rotational motion of wrench

translation / rotation motion of dumb bell

exploding projectile

person walking on boat


elastic / inelastic - adjust degree of elasticity, velocity, and mass; plot of velocity vs time

elastic - 1 or 2- d: 1 (adjust m; time); 2 (relative m; time); 3 (adjust m & v)


axis of rotation

vectors - cross product

Kepler's laws

oscillation unit

behavior of the function: A cos (b t + c)

torsion pendulum


vector addition

2D circular / ellipitical motion; show velocity & acceleration vectors

mass on a spring; oscillations

physics aviary


uniform circular motion

centripal acceleration: relate velocity and delta velocity - see drawing & Kahn video

bank turn - video of car / bus (alt)

vertical circular motion - video of person running; Khan academy (partial analysis)


images: pulley / tension

drag force - terminal velocity - me (*.nb); link

ophysics - geobra animation / simulation

relate circular motion & oscillation

textbook resource - simulation / animation

ch.8 conservation of mechanical energy

relate ME, KE, PE: spring, pendulum, arbitrary


center of mass

Newton's cradle - conservation of momentum / kinetic energy

ch. 18 oscillations

behavior of cos (*.nb)

relate circular motion & oscillation: ophysics; youtube


Developing the Energy Concepts in Introductory Physics

Energy & the Confused Student 1: work


frame of reference (video; ~ 27")

ch. 4 planar motion ppt slides

ch. 8 conservation of mechanical energy ppt slides

center of mass using calculus; 1; 2

cross product