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SEE344 : Deakin University : Elecrtrical Engineering - Engineering Assignment
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Internal Code - MAS981
2.Two carts with negligible rolling friction are connected as shown in Figure (1b). An input force u(t) is applied. The masses of the two carts are M1 and M2 and their displacements are x(t) and ), q(t )respectively. The carts are connected by a spring k and a damper b. Answer the following questions:
(b) By using Newton’s Second Law, derive two mathematical equations that describe the motion of the two carts.
(c) Hence derive the transfer function that relates the displacement x(t) and the input u(t), i.e.G s =X(s)/U(s)
3.A system with unity feedback is shown in figure (3),
whereG(s)=4/s(s+5) .
(a) Determine the closed-loop transfer function of the systems.
(b) Derive the solution for the output (i.e., y(t) ) of the system when the input is a unit step input,R(s)=1/s
Electrical Engineering Assignment
Questions : 1. Figure (1a) shows an electric-circuit which is called a phase-lag network. Derive the transfer function, i.e. G(s )=V0(s)/ Vin(s) , for the network. Show all your working.
2.Two carts with negligible rolling friction are connected as shown in Figure (1b). An input force u(t) is applied. The masses of the two carts are M1 and M2 and their displacements are x(t) and ), q(t )respectively. The carts are connected by a spring k and a damper b. Answer the following questions:
(b) By using Newton’s Second Law, derive two mathematical equations that describe the motion of the two carts.
(c) Hence derive the transfer function that relates the displacement x(t) and the input u(t), i.e.G s =X(s)/U(s)
3.A system with unity feedback is shown in figure (3),
whereG(s)=4/s(s+5) .
(a) Determine the closed-loop transfer function of the systems.
(b) Derive the solution for the output (i.e., y(t) ) of the system when the input is a unit step input,R(s)=1/s