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(Solved): Given a pendulum of length L and a point mass M with input u(t) as the force applied tangential to ...



Given a pendulum of length

L

and a point mass

M

with input

u(t)

as the force applied tangential to the direction of the motion of the mass shown in Figure 1, Figure 1: A pendulum. a) 2 points. Write an exact input/output differential equation using

\theta (t)

as the output. Hint: Themoment of inertia here is

I=ML^(2)

. b) 2 points. Classify this system: i. Memoryless, lumped, or distributed. ii. Causal or noncausal. iii. Linear or nonlinear. c) 2 points. Write a linear approximation of the input/output differential equation from part a) assuming

\theta (t)

is small. d) 2 points. Find the impulse response and transfer function of the system in part c).

Image 1 For  Solved   Given a pendulum of length L and a point mass M w


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