Consider the pendulum-bob system in Problem 5 of Problem Set 5.3. The parameter values are \(m=0.1 \mathrm{~kg}, M=1.2 \mathrm{~kg}, L=0.6 \mathrm{~m}\), and \(B=0.25 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\). The initial angular displacement is \(\theta(0)=0.1 \mathrm{rad}\) and the initial angular velocity is \(\dot{\theta}=0.1 \mathrm{rad} / \mathrm{s}\).

a. Build a Simulink block diagram based on the nonlinear mathematical model of the system and find the angular displacement output \(\theta(t)\).

b. Build a Simscape model of the nonlinear physical system and find the angular displacement output \(\theta(t)\).

Data From Problem 5 of Problem Set 5.3:

Consider the pendulum system shown in Figure 5.65. The system consists of a bob of mass m and a uniform rod of mass M and length L. The pendulum pivots at the joint O. Draw the necessary free-body diagram and derive the differential equation of motion. Assume small angles for θ.

Transcribed Image Text:

FIGURE 5.65 Problem 5. 0 C M, L m