Name
Section
CM _______
ES204
Examination I
December 19, 2008
Problem
Score
1
/10
2
/30
3
/30
4
/30
Total
/100
Show all work for credit
AND
Turn in your signed help sheet
AND
Stay in your seat until the end of class
Name
ES204 Examination I
Problem 1
10 pts
Dec. 19, 2008
Problem 1 (10 pts)


Determine, v A , the velocity of block A and vB / A , the relative velocity of block B with respect to block A for the

system shown below if vB  2iˆ ft/s.
B
y
x
A
Name
ES204 Examination I
30 pts
Dec. 19, 2008
Problem 2
Telemetry technology is used to quantify kinematic values of a roller coaster cart mass center as it passes overhead.
For a cart that weighs 500 lbf and the kinematic values shown below, determine the:
a) velocity of the cart (5pts)
b) acceleration of the cart (10 pts)
c) magnitude and direction of the cart's normal force on the coaster rails. (15pts)
r  100 ft
  /2
rad
r  4
  0.04
rad / s
ft / s

r  9.82 ft / s
2
m
2
  0.0032 rad / s
r

Name
ES204 Examination I
Problem 3
30 pts
Dec. 19, 2008
The figure depicts a carnival ride designed to allow the general public to experience high acceleration motion.
Wedge C is welded to arm OB and the assembly rotates in a horizontal circle with a constant angular speed. The
bed/subject mass A rides on rollers (not shown) such that friction is negligible. A mechanical stop prevents the bed
from rolling down the incline (also not shown). Assume R, r, mA and are known. Find the equations needed to
determine:
a) the speed v0 at which the bed begins to roll upwards (another way of thinking about this is A will not move
up or down the incline even with zero friction),
b) the normal force experienced by the subject at this speed (as a function of subject mass.)
DO NOT SOLVE THE RESULTING EQUATIONS! Your solution should consist of a table of unknowns and
equations and a number collection of equations. Be sure to clearly document your solution.
A
r
A
C
B
O

v0
R
Name
ES204 Examination I
Problem 4
30 pts
Dec. 19, 2008
Ball A is suspended from a spring and is initially at rest when it is struck by ball B. Neglecting friction, and
knowing of the ball masses and coefficient of restitution, e, determine the equations necessary to find:
a) The velocities of A and B after impact
b) The maximum height reached by A.
DO NOT SOLVE THE RESULTING EQUATIONS! Your solution should consist of a table of unknowns and
equations and a number collection of equations. Be sure to clearly document your solution.
k
mA
A
mB
B

vo