A simple pendulum consists of a bob of mass on a light rigid rod of length
PHYSICS · Multi-part · Fermi University Physics · Mechanics & Dynamical Systems · Lagrangian mechanics · Lagrangian mechanics
Action and Symmetry, Ch Constraints, generalised coordinates and Lagrange's equations twice over
Problem
A simple pendulum consists of a bob of mass 0.30kg on a light rigid rod of length ℓp=0.40m, free to swing in a fixed vertical plane about a smooth pivot. A steady horizontal wind, blowing in the plane of the swing, exerts a constant horizontal force F=1.5N on the bob, directed towards the side on which θ is positive. Let θ be the angle between the rod and the downward vertical.
((a)) State the dimension and shape of the configuration space of this pendulum.
((b)) Find the generalised force Qθ due to the wind alone when θ=40∘, and state its units.