Dynamics

Do a Newton's second law computation:

force m=150g, a=50cm/s^2

Compute the motion of a block on an inclined plane:

a 2.1kg block slides down an inclined plane

Compute torque:

3m, 1N, torque?

Kinematics

Compute momentum:

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

Find equations associated with the two-body problem:

two-body problem

Analyze an elastic collision in one dimension:

elastic collision m1=3kg, v1i=4m/s, m2=2kg, v2i=-1m/s

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 for a driven harmonic oscillator