Some problems are taken from David Morin's book: https://scholar.harvard.edu/files/david-morin/files/cmchap6.pdf
Single pendulum
Double pendulum
Mass on a moving inclined plane
Single pendulum with a springy wire
Pendulum with an oscillating support
Two masses, one swinging
Standing slider and crank under gravitational force
Slider and crank, a spring is added in the slider, along the horizontal axis
Rotating unbalance
Rotating unbalace with a spring
Reaction wheel pendulum
Flyball speed governor
Sucker rod pump