A simple pendulum of length b and mass m is attached to a massless support moving horizontally with constant acceleratio
Posted: Wed Apr 27, 2022 8:25 pm
A simple pendulum of length b and mass m is attached to a massless support moving horizontally with constant acceleration a. Assume that the origin of the coordinate system used for this problem to be at the pendulum connection point with the massless support. ma a) Write an equation describing the kinetic energy of the system. b) Write an equation describing the potential energy of the system. c) Write the Lagrangian for this scenario. d) Determine Lagrange's Equation of motion for this scenario.
> a = at bocoso a xmat - bsing m² - bcos e ý = bė sino m a) T- ām (at -bécos e) ** (bos.noy] M 6) u = -mgb cose c) L = 1 m [(at-bécuse & Cuisine) + mgb cose c-) ?] d) OL ව mb bone mbine ting bsint OL obcou wind d OL dt s
> a = at bocoso a xmat - bsing m² - bcos e ý = bė sino m a) T- ām (at -bécos e) ** (bos.noy] M 6) u = -mgb cose c) L = 1 m [(at-bécuse & Cuisine) + mgb cose c-) ?] d) OL ව mb bone mbine ting bsint OL obcou wind d OL dt s