MIME 2300 Test 2
Name _______________________
July 16, 2007
In all the problems show all equations used with variables and then with values substituted so partial
credit can be given wherever possible.
Give units on all answers and write only in the space provided.
On problems where appropriate, draw coordinate systems, datums, FBDs, K.Ds or velocity diagrams.
Do not use F=ma as the primary method to solve any problems on this test
!
1. The disk with center at C rolls on the ground without slipping with the motion shown.
The pin P is imbedded
in the disk and slides freely in the slot in link AB.
Link AB is free to rotate about point A which is fixed to the
ground.
A velocity analysis has been done with the results that link AB is rotating clockwise with an angular
velocity of 2.16 rad/s clockwise and the length from A to P is increasing at a rate of 14.4 in/s.
Find the angular
acceleration of link AB at this instant. (38 points)
Solution:
(
29
CD
2
CD
D
C
r
r
a
a
ϖ

×
α
+
=
(
29
(
29
j
2
6
j
2
k
8
j
a
i
a
2
D
C

×

+
=
i
16
a
C
=
j
72
a
D
=
(
29
PC
2
PC
C
P
r
r
a
a
ϖ

×
α
+
=
(
29
j
6
j
1
k
8
i
16
a
2
P

×

+
=
j
36
i
24
a
P

=
(
29
(
29
PA
PA
PA
PA
PA
2
PA
PA
PA
A
P
u
r
r
2
r
r
a
a
+
×
ϖ
+
ϖ

×
α
+
=
j
36
i
24
a
P

=
0
a
A
=
(
29
i
3
j
4
j
3
i
4
k
r
PA
PA
PA
PA
PA
α

α
=
+
×
α
=
×
α
(
29 (
29
j
14
i
7
.
18
j
3
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.
 Spring '08
 Gan
 Mass, 4 pts, 0.4 m, 30 lbs, 2.16k, 6 2 2 j

Click to edit the document details