Slider-Crank Mechanism

Model the motion of a simple slider-crank mechanism subject to an external force.

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: