Eastern Mediterranean University
Faculty of Engineering
Department of Mechanical Engineering
MENG331
(Midterm Exam Solutions)
Instructor: Assist. Prof. Dr. MOSTAFA RANJBAR
STUDENT’S
Name, Surname: ……………………………….
Student Number: ………………………………
Questions Marks
Time: 90 minutes
1
Date: 10/04/2013
2
3
TOTAL
1
Question 1. A mass m is attached at the end of a bar of negligible mass and is made to
vibrate in three different configurations, as indicated in the following figure. Find the
configuration corresponding to the highest natural frequency. (40 Points)
Solution:
2
Question 2. Find the natural frequency of vibration of a spring-mass system arranged on
an inclined plane as shown in Figure below. (30 Points)
Solution:
3
Question 3. Drive the equation of motion and find the natural frequency of vibration of the
system shown in Figure below. (30 Points)
Solution:
(Good Luck!)
4