The state of the slider-crank mechanism can be described completely by two angles
,
and the distance
of the slider from origin:
Define the force that is exerted on the slider:
The equations of motion are derived by resolving the forces and applying Newton's law
and
. The crank and connecting rod have mass and therefore inertia:
The algebraic equations define the geometry of the system:
Define the physical parameters for the system. Here
J1 and
J2 are the moment of inertia:
Solve and visualize the system: