BENG125sp13_Homework1_Solutions

T a an example of a system with this response is an

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Unformatted text preview: Problem 2.1.5 (3pts) dx 1 x = sin( x ); → dx = dt; → ln(tan( )) = t + a dt sin( x ) 2 x (t ) = 2 tan −1 ( x0 et ) Graph of x vs. t a) An example of a system with this response is an overdamped pendulum where x is the angle of the pendulum with the vertical axis pointing upward. b) In the pendulum example, x = 0 is unstable because x = 0 corresponds to the pendulum being upside down. x = π is where the...
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