1. Particle pendulum with airresistance (2D dynamics)





The figure to the right shows a particle Q of mass m = 100 kg
at the distal end of a straight cable B of length L = 50 m.
Earth's local gravitational acceleration is g = 9.8 m/s^{2}.
Airresistance of force 2*v resists the pendulum motion.
This problem shows how to use MotionGenesis™ to determine
the pendulum angle q and cable tension as a function of time.


To simulate/plot with MATLAB®, edit MGParticlePendulumDynamics.txt, and change
ODE() ParticlePendulumDynamics to ODE() ParticlePendulumFma.m
This causes MotionGenesis™ to autogenerate the file ParticlePendulumFma.m

Alternately, use this MotionGenesis™ file to autogenerate a
MATLAB® .m file with plant dynamics (e.g., for Simulink^{®}).






2. Rigidbody pendulum (2D dynamics)


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The figure to the right shows a nonuniform rigid rod A attached
by a frictionless pin joint to Earth N (a Newtonian reference frame).
The only external forces on rod A are contact forces at No
(the point of N in contact with A) and Earth's gravitational force.








3. Metronome (2D Dynamics  Euler, Lagrange, Kane)








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5. Swinging spring (2D pendulum, particle on spring)





6. Foucault pendulum (3D motion with spinning Earth)





7. Spherical pendulum (3D tether/wreckingball forces & motion)





8. Tether ball (2D/3D particle wrapping around a cylinder)





9. Swinging beam on two cables (construction hoist)





10. Trifilar pendulum (3D aircraft)



