MAE 488 Analysis of Engineering Systems
FALL 2013
Homework 5, Quiz on Wednesday November 13th
PROBLEM 1.
Obtain the transfer functions T(s) = X(s) / F(s) for the following two block diagrams.
(a)
(b)
PROBLEM 2.
PROBLEM 3.
PROBLEM 4.
PROBLEM 5.
Vo ( s )
fo

Name:
MAE 488 Analysis of Engineering Systems
Exam 1; Duration: 1hour 20minutes
Instructions:
(1) Write your answers legibly and clearly.
(2) Show all important steps in arriving at your final answer. Partial credit will be given for steps.
(3) Simply wri

(a) [_. mg + n, = (a) Fl dlx dx mm quantity Electrical quantity
. d! r z
, r m m d! d! Fluid masan Charge, 0
I ' = - Mass ow rate. m Current, 1'
in, c n t q
Prasme, p Voltage, 1)
(b) 44 (b) 42., d9 R _ R _ .
1+m=r * .: _ _ = 7pm. in.
0 d "3" ,1 [411 + fn:

MAE 488 Analysis of Engineering Systems
FALL 2013
Homework 4, No Quiz for this HW
PROBLEM 1. Derive equations of motion for systems in (a), (b) and (c) below. Case (a) is
vertical, and Case (c) is horizontal. Assume inclination of angle for case (b).
PROB

MAE 488 Analysis of Engineering Systems
FALL 2013
Homework 2, Quiz on September 30th Monday
PROBLEM 1.
PROBLEM 2. Solve the following using the method of characteristic equation.
a. 5 x + 7 x = 15, x(0) = 0
b. 7 x + 5 x = 4, x(0) = 3
PROBLEM 3. First, sol

MAE 488 Analysis of Engineering Systems
Homework 6
PROBLEM 1. (i) Derive the expression for the fluid capacitance of the container shown below.
(ii) Derive the governing equation for the fluid height h, given that the inflow mass flow rate is
qm(t).
PROBL

MAE 488 Analysis of Engineering Systems
Homework 1, FALL 2013
(Quiz 1 Based on HW 1 will be conducted on September 4th, Wednesday)
PROBLEM 1.
PROBLEM 2.
PROBLEM 3.
PROBLEM 4.
For the mass shown in the figure given below, m = 10 kg, = 25o, initial velocity