This preview shows pages 1–2. Sign up to view the full content.
ME 562 Advanced Dynamics
Summer 2010
HOMEWORK # 3
Due: June 21, 2010
Q1.
Consider the particle of mass
m
located in
the center of a box of sides
2l
and constrained to
move
in
the
horizontal
plane
by
the
four
identical and linearly elastic springs with spring
constant
k
each.
Each of the springs has free
length
l
.
Let O be the origin of the coordinate
system located at the center of the box.
To
derive the equation of motion of the particle, we
displace the mass particle now to a position with
coordinates (
x
,
y
).
Then, derive (i) the forces in
each of the spring as they act on the mass
particle, (ii) the general equations for motion for
the particle in the (
x
,
y
) coordinates.
Note: you
are not to make any assumptions regarding the
size of displacement relative to the size of the
box
other
than
that
the
springs
never
get
compressed to zero length.
Q2.
Follow the developments in class
notes and (i) rederive (include all the
details of derivation of expression for
the inertial acceleration) the equations
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/27/2011 for the course ME 562 taught by Professor Bajaj during the Fall '10 term at Purdue UniversityWest Lafayette.
 Fall '10
 BAJAJ
 Strain

Click to edit the document details