Question

For the lever system shown, the input to the system is the displacement, y, and the angle θ is the output. The position θ 0 corresponds to the equilibrium position when y-0. The lever has an inertia I about the pivot. Assume small displacements. 3. ki Derive the equation of motion Find the transfer function for the system. Discuss whether or not this system has numerator dynamics and what affect this has on the response Use the tf and impulse commands in MATLAB to plot the response of the system to a unit impulse input using the variables given. Evaluate the accuracy of your answers to b and c based on the plot generated by MATLAB a. b. c. L2-3 kg m Ns d. Li = 1m し,-1.5m

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c(L20) F(3) 4kil) dly hon (8) F(S) 30618 eut, eate o.de (x®.&P Me( Q M

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