Physics
# Mechanics

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
visualize a vortex field

vortex potential
compute fluid flow around an object

flow around a cylinder
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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
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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
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Classical Mechanics

compute Eulerâ€“Lagrange equations

Lagrangian (q')^2 - q^2
compute equations of motion from a Hamiltonian

Hamiltonian p^2/2 - cos(q)
find equations associated with a quantum physical system

quantum harmonic oscillator
find the propagator for a system

propagator of a driven harmonic oscillator