Name
Sectio
on
CM ________
ES
S204
Exam
mination I
Decemb
ber 18, 20009
Prob
blem
Score
1
/15
2
/15
3
/30
4
/40
Total
/100
Show alll work for ccredit
AND
Turn in you
ur signed heelp sheet
AND
Remain
n in your seat until thhe end of class
Pagge 1 of 6
Name
ES204 Exaamination I
Problem 1
155 pts
Dec. 18, 20009
Problem 1 (15 pts)
Pulley D is rigidly attached
d to wedge B. Wedge
W
B is attaached to the groound. If blockk C is moved to
o the right at 4 m
m/s,
t
determine the:
a) speed of block A with respect to thee ground, and
ock A with resp
pect to block C.
C Assume the roope
b) velocitty vector of blo
remains in tension and thee surface betweeen A and B is frictionless.
f
Pagge 2 of 6
Name
ES204 Exaamination I
Problem 2
155 pts
Dec. 18, 22009
Problem 2 (15 pts)
A ball bearring is moving radially outwaard in a slotted
d horizontal dissk that is rotatinng about the veertical z axis. A
At the
instant sho
own in the figurre, the ball beaaring is 3 in. fro
om the center oof the disk. It iis traveling raddially outward at a
velocity off 4 in./sec relativee to the disk an
nd has a radial acceleration w
with respect to tthe disk of 5 in../sec2 outward.
What woulld
have
h
to be at th
he instant show
wn for the ball
bearing to have a total accceleration of zero?
z
Pagge 3 of 6
Name
ES204 Exaamination I
Problem 3
300 pts
Dec. 18, 22009
Problem 3 (30 pts)
A jet planee of weight 40,000 Ibf makes an evasion maaneuver as show
wn. Determinee the:
a) radiu
us of curvature of the path at the
t instant shown,
b) tangeential force neeeded to cause this
t motion, an
nd the
c) norm
mal force experiienced by the plane
p
at this insstant.
Pagge 4 of 6
Name
ES204 Examination I
40 pts
Dec. 18, 2009
Problem 4
A pendulum consisting of a ball A of mass mA attached to a mass less string of length L is released from rest at an
angle of 60o as shown in the picture. The ball strikes a plate B of mass mB on a plane inclined at o to the horizontal.
The plate is attached to a foam rubber mat. The coefficient of restitution between the plate and the ball is e. Assume
that after impact the string goes slack.
Set-up but do not solve the equations to find the
a) velocity at which the ball strikes the plate
b) velocity of the ball after impact,
c) velocity of the plate after impact
L
o
60
A
Your solution should include a list of unknowns and numbered equations.
B

Page 5 of 6
Name
ES204 Examination I
Problem 4 Continued
40 pts
Dec. 18, 2009
Page 6 of 6