Question: wrtie out the blocked area Problem 41 Consider a mechanical torsion system .(1)+ b)(t) + ky(1)-K u(1) . Solve for the solution domain. Do not
wrtie out the blocked area 
Problem 41 Consider a mechanical torsion system .(1)+ b)(t) + ky(1)-K u(1) . Solve for the solution domain. Do not take inverse Laplace transform to find y(t) (s) in the Laplace (a) Free response for y(0-)-'(0-)-x, (b) Impulse response (c) Step response (d) Forced response for u(t) -cosat (a) The free response is Vfee(s) (b) ,(c), (d) are forced responses with zero initial conditions so the solutions are simply the product of the transfer function and the Laplace transform of the input obtained from Problem (2) Transfer function is G(s)- Js2 +bs +A Impulse response u(s)-1-s)-G(s Observation: Laplace transform of the impulse response is transfer function Unit Step response u(s)-1/s -> T(s) 2 Problem 41 Consider a mechanical torsion system .(1)+ b)(t) + ky(1)-K u(1) . Solve for the solution domain. Do not take inverse Laplace transform to find y(t) (s) in the Laplace (a) Free response for y(0-)-'(0-)-x, (b) Impulse response (c) Step response (d) Forced response for u(t) -cosat (a) The free response is Vfee(s) (b) ,(c), (d) are forced responses with zero initial conditions so the solutions are simply the product of the transfer function and the Laplace transform of the input obtained from Problem (2) Transfer function is G(s)- Js2 +bs +A Impulse response u(s)-1-s)-G(s Observation: Laplace transform of the impulse response is transfer function Unit Step response u(s)-1/s -> T(s) 2
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