MEEG 4003 Quiz #8
1. Dene the symbols in the formulas
Q
= Q i +Q j+Q k
()
Axyz
x
y
z
2. Derive the addition theorem for angular velocities
for bodies A, B, and C. Define all symbols.
3. Derive the addition theorem for angular accelerations for bodies A, B
MEEG 4003
Name: _
(Underline your last name.)
Final Exam
ID#: _
1. (30%) The Geneva mechanism shown in Fig. P1 consists of a star wheel S and a driving wheel D. It
is known that the driving wheel D rotates with a constant angular velocity D = 3 rad/s . Fo
(Closed books & closed notes)
MEEG 4003
Name: _
(Underline your last name.)
ID#: _
Quiz #15.m15.093
1. Describe Chasles theorem.
2. In the position shown, the
crank AB of the 4bar linkage rotates with AB = 8 rad/s and
AB = 6 rad/s2 . Determine the
angul
MEEG 4003 Quiz #9
(30 pts) The connecting rod
AB is attached to a disk by a
ballandsocket joint at A
and to a collar at B by a
clevis as shown. The disk is
mounted on a vertical shaft
at O and rotates with a
constant angular velocity 1
= 29J rad/s. For
MEEG 4003 Quiz 12.m03.093
1. Including sketches, derive the
formulas (a) e r = e , (b) e = er .
2. Starting with the position vector
r = r e r and using the above formulas,
derive the formulas for the velocity v
and acceleration a of a particle in polar c
MEEG 4003 Quiz 12.m07.093
A spacecraft approaches
Venus along a hyperbolic
trajectory SQ of eccentricity
= 2 as shown. As it reaches Q, retrorockets are red
momentarily to insert it into
an elliptic orbit as indicated.
If the mass of Venus is
0.8144 tim
MEEG 4003 Quiz #12.m07.smuq.093
1. A spacecraft approaches
Mars along a hyperbolic trajectory SQ as shown. As it reaches Q,
retrorockets are red momentarily
to insert it into an elliptic orbit as
indicated. If the mass of Mars is
0.1077 times of the mass
MEEG 4003 Quiz #15.m11.093
In the position shown, the link DE of the fourbar linkage rotates with D E = 2.5 rad/s and D E = 2 rad/s2 .
For this position, determine (a) the angular velocities A B
and BD of links AB and BD, (b) the acceleration aD of
pin
MEEG 4003 Quiz #15.m11.smuq.093
The end A of the rack AB moves with a constant velocity of 17.5 in./s . For the instant shown, determine
the angular velocities A B of AB and O of the gear.

= 17.5 in./s tan 1 (7/24) 16.2602
vA
=
=
vD = vE
= vA / D + vE
MEEG 4003 Quiz #15.m20.093
1. Dene the symbols in the acceleration formula:
= a B /Axyz + aB + 2 vB /Axyz
aB
2. The dumper pivoted at C is
operated by the hydraulic cylinder
AB. In the position shown, the piston rod is being extended with a
velocity of 1.
MEEG 4003 Quiz #15.m22.093
1. Dene the symbols in the acceleration formula:
= a B /Axyz + aB + 2 vB /Axyz
aB
2. The Geneva mechanism
shown consists of a star wheel S
and a driving wheel D, as shown.
It is known that the driving wheel
D rotates with a cons
MEEG 4003 Quiz #19.m26.093
1. Add the missing terms in the following equation
A /B = A /P + P/Q + Q/R + R /B + .
so that it will become a correct formula representing the addition theorem for angular accelerations of rigid bodies A, B, P,
Q, and R moving