We have discussed in the session that the solution of the Foucault pendulum can be obtained using a complex substitution 7(t) = x(t)+ iy(t). The solution was 2. 2 n(t) = = e-in,t Ce + Cze where C, and Cz are complex constants. Using the initial conditions x, = A, yo = 0, vxo = 0, and vyo = 0, determine the real functions x (t) and y(t) and describe the pendulum's behavior be referencing the solutions(explain which part of the function is responsible for what). Recall that e16 = cos e + i sin 0.

We have discussed in the session that the solution of the Foucault pendulum can be obtained using a complex substitution 7(t) = x(t)+ iy(t). The solution was 2. 2 n(t) = = e-in,t Ce + Cze where C, and Cz are complex constants. Using the initial conditions x, = A, yo = 0, vxo = 0, and vyo = 0, determine the real functions x (t) and y(t) and describe the pendulum's behavior be referencing the solutions(explain which part of the function is responsible for what). Recall that e16 = cos e + i sin 0.