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don_anon25
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Lagrangian Dynamics problem -- need help with setup
Here's the problem:
A simple pendulum of length b and bob with mass m is attached to a massless support moving horizontally with constant acceleration a. Determine the equations of motion.
For the pendulum, x = b sin theta and y = b cos theta (Which of these equations should I use? y = b cos theta?)
For the support, x = (v0)t +.5a*t^2 - b sin theta? Is this correct?
Kinetic energy is 1/2 m (x'^2+y'^2), correct?
Potential energy is U=mgy.
If my equations are wrong, could someone tell me why and how to correct them? Your help is greatly appreciated!
Here's the problem:
A simple pendulum of length b and bob with mass m is attached to a massless support moving horizontally with constant acceleration a. Determine the equations of motion.
For the pendulum, x = b sin theta and y = b cos theta (Which of these equations should I use? y = b cos theta?)
For the support, x = (v0)t +.5a*t^2 - b sin theta? Is this correct?
Kinetic energy is 1/2 m (x'^2+y'^2), correct?
Potential energy is U=mgy.
If my equations are wrong, could someone tell me why and how to correct them? Your help is greatly appreciated!