Find the Lagrangian and the equation of motion of two equal rods AB and BC, each of length L and smoothly joint at B, are suspended from A, and oscillating in a vertical plane through A.
a) Lagrangian = T - U, Equation of motion = θ'' + (g/L)sin(θ) = 0
b) Lagrangian = T + U, Equation of motion = θ'' - (g/L)sin(θ) = 0
c) Lagrangian = T + U, Equation of motion = θ'' + (g/L)cos(θ) = 0
d) Lagrangian = T - U, Equation of motion = θ'' - (g/L)cos(θ) = 0