Question

do (b) and (c) only.

2. For the simple pendulum shown in Figure 2, the nonlinear equations of motion are given by θ(t) + 믈 sin θ(t) + m 0(t)-0 Pivot point L, length Massless rod , mass Figure 2. A simple pendulum 3. Consider again the pendulum of Figure 2 of problem 2 when g = 9.8 m/s, 1 = 4.9m, k =0.3, and (a) Determine whether the system is stable by finding the characteristic equation obtained from setting the determinant of sl-A to be 0. Then p(s) = [sl-A]-1, which is the state transition matrix's Laplace transform. E(cos(at)) = s2rei , and Lle"atf(t)) = F(s + a). the responses of this system i.е.0(t) and a(t) using Matlab. (b) Determine the state transition matrix Ф(t) of the network. Note that L(sin(at) sita,2 2+62 (c) when the initial angle θ°-0° and the initial angular velocity a0-0.1 rad/s, determine and plot

Answer 1

according to the HOMEWORKLIB RULES we have to answer only one question at a time. sol-2