ME 308-Introduction to Vibrations
Fall 2016
HW 1 due Fri. Sept. 2
Reminder: No LATE Homework accepted! Turn in a HARDCOPY of your work.
Problem 1 (5 pts). Review of Determining FBDs. Draw the free body diagram (FBD) of the
100 kg uniform rod when it is 30
ME308: Solutions to Homework 2
Problem 1.3 (5 pts)
Explain why continuous systems have infinite numbers of degrees of freedom.
We define the degrees of freedom as the minimum number of coordinates required to define the system
configuration. If we have a
ME308: Solutions to Homework 1
Problem 2.4 (5 pts)
Find the solution to the second order differential equation.
.
.
2 x +3 x +7x = 0
(1)
Let xh = Aept
x h = Apept
x
h = Ap2 ept
(1) 2Ap2 ept + 3Apept + 7Aept = 0
pt
(2p2 + 3p + 7)
Ae
=0
2p2 + 3p + 7 = 0
Use
ME308: Solutions to Homework 3
Problem 3.1 (10 pts)
A single degree of freedom mass-spring system consists of a 10 kg mass suspended by a linear spring which
has a stiffness coefficient of 6 103 N/m. The mass is given an initial displacement of 0.04 m and
1
ME 308 Introduction to Vibrations
Review of Linear Algebra Concepts
Linear Algebra Fundamentals
In general, the notation for a matrix is as follows. A matrix is a grid of numbers. Lets examine
matrix A which is a 2x2 matrix (meaning it has 2 rows and 2
Syringe Pump Guide
Building Syringe Pumps:
Once you have all the parts, building it is pretty intuitive. See full instructions at
http:/hackaday.io/project/1838-Open-Syringe-Pump.
Even if youre inexperienced at soldering, this is a great project to learn