Repeat the two parts of Problem 23 this time using the linear model (7).

Problem 23

Does a pendulum of length l oscillate faster on the Earth or on the Moon?

(a) Take l = 3 and g = 32 for the acceleration of gravity on Earth. Use a numerical solver to generate a numerical solution curve for the nonlinear model (6) subject to the initial conditions θ(0) = 1, θ'(0) = 2. Repeat using the same values but use 0.165g for the acceleration of gravity on the Moon.

(b) From the graphs in part (a), determine which pendulum oscillates faster. Which pendulum has the greater amplitude of motion?