Problem 5 A pendulum consists of a mass m and a massless stick of length l. The pendulum support oscillates horizontally with a position given by x = A cos (wt), as shown below. Use 0 (the angle of the pendulum as measured from the vertical) as your generalized coordinate. Find the kinetic energy and potential energy of the system. Show that the Lagrangian can be written as L · = ½±m (l²à² + x² + 2lið cos 0) + mgl cos 0 m

Problem 5 A pendulum consists of a mass m and a massless stick of length l. The pendulum support oscillates horizontally with a position given by x = A cos (wt), as shown below. Use 0 (the angle of the pendulum as measured from the vertical) as your generalized coordinate. Find the kinetic energy and potential energy of the system. Show that the Lagrangian can be written as L · = ½±m (l²à² + x² + 2lið cos 0) + mgl cos 0 m