3
ME 274 – Spring 2008
Name
Final Examination  Wednesday
PROBLEM NO. 1
Instructor
Given
:
Disk P (having a mass of m = 2 kg) is constrained to move on a smooth,
horizontal surface. An inextensible cord is attached to P with the cord passing
through a hole in the surface at point O. A particle having a mass of M = 8 kg
is attached to the other end of the cord, as shown below. At position 1 where
R = 2 meters, P has a velocity that is perpendicular to OP with v
1
= 3
meters/sec. At position 2 where R = 1.5 meters, the velocity of P has both
e
R
and
e
!
components.
Find
:
For position 2 of P,
a)
find the value of
!
!
=
d
!
/
dt
.
b)
find the value of
!
R
=
dR
/
dt
.
c)
write down the
velocity vector
for P in terms of its polar coordinates.
Please start your work for this problem on the next sheet.
v
1
v
2
M
O
P
P
R
2
e
!
e
R
e
R
e
!
!
!
R
1
1
2
smooth, horizontal surface
g
m
B
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
5
ME 274 – Spring 2008
Name
Final Examination  Wednesday
PROBLEM NO. 2
Instructor
Given
:
A mechanism is made up of links OA and AB. OA (having negligible mass
and length 0.6L) is pinned to ground at O and pinned to AB at A. Link AB
(having a mass of m with uniform mass distribution and length L) is free to
slide within a smooth slot at end B with this slot being perpendicular to line
OD. A force F acts in the direction shown at B. The system is
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '09
 Mass, Strain, Velocity, PROBLEM NO.

Click to edit the document details