Kinematics & Dynamics

compute momentum

momentum m=12kg, v=30m/s

compute the motion of a block on an inclined plane

a 2.1kg block slides down an inclined plane

analyze the motion of a double pendulum

double pendulum

Fluid Mechanics

visualize a vortex field

vortex potential

compute fluid flow around an object

flow around a cylinder

Elastomechanics

calculate engineering strain

cauchy strain with final length 2m

nominal strain e with final length 2m and original length 1.99m

find the stress on a cylinder

diameter 5mm and force 2N, what is the mechanical stress

determine the poisson ratio value for a deformation

poisson effect with original length 2m and width 1m

do an Euler column buckling computation

column buckling

compute the deflection of a beam under load

beam deformation

Mechanical Systems

find equations associated with a mechanical system

free particle

particle in a box in 3D

spherically symmetric potential

classical harmonic oscillator in 2D in polar coordinates

classical inverse-distance potential in 3D in spherical coordinates

isotropic harmonic oscillator in 4D in hyperspherical coordinates

Classical Mechanics

compute Euler–Lagrange equations

Lagrangian (q')^2 - q^2

compute equations of motion from a Hamiltonian

Hamiltonian p^2/2 - cos(q)

Quantum Physics

find equations associated with a quantum physical system

quantum harmonic oscillator

find the propagator for a system

propagator of a driven harmonic oscillator