me274 e2 fa2008.pdf-ME 274 – Fall 2008 S...
me274_e2_fa2008.pdf-ME 274 – Fall 2008 SOLUTION
Showing 8 out of 8
me274 e2 fa2008.pdf-ME 274 – Fall 2...
me274_e2_fa2008.pdf-ME 274 – Fall 2008 SOLUTION
##### Page 8
ME 274 – Fall 2008
SOLUTION
Examination No. 2
PROBLEM NO. 3
Part (d) – 4 points
Cart A and block B (having masses of M = 4 kg and m = 2 kg, respectively) are
connected by a spring of stiffness k = 300 N/m.
The system is released from rest with the
spring being compressed by 0.2 meters (position 1). Find the
speed of cart A
at position 2
when the spring is unstretched/uncompressed. Consider all surfaces to be smooth.
HINT
:
Consider both the energy and the linear momentum of system A + B as it moves.
F
!
x
=
0
"
lin
.
momentum in x
#
dir
.
conserved
"
Mv
A
1
+
mv
B
1
=
0
=
Mv
A
2
+
mv
B
2
!
v
B
2
=
"
2
v
A
2
No external forces do work. Therefore,
T
1
+
V
1
=
T
2
+
V
2
!
0
+
1
2
k
"
1
2
=
1
2
Mv
A
2
2
+
1
2
mv
B
2
2
=
1
2
M
+
4
m
(
)
v
A
2
2
!
v
A
2
=
k
M
+
4
m
"
1
=
300
4
+
8
0.2
(
)
=
1
m
/
sec
Position 1
(at rest)
B
k
m
M
A
A
B
Position 2
(both A and B moving)
A
B
x
y

Browse thousands of Study Materials & Solutions from your Favorite Schools
Purdue University-Main Ca...
Purdue_University-Main_Campus
School:
Basic_Mechanics_II
Course:
Great resource for chem class. Had all the past labs and assignments
Leland P.
Santa Clara University
Introducing Study Plan
Using AI Tools to Help you understand and remember your course concepts better and faster than any other resource.
Find the best videos to learn every concept in that course from Youtube and Tiktok without searching.
Save All Relavent Videos & Materials and access anytime and anywhere
Prepare Smart and Guarantee better grades