2009 exam3
1. As the crank O
1
A
1
rotates (constant angular velocity), it produces sinusoidal
displacement of the sliding link BCD.
A pin at A
1
(dark circle) is rigidly attached
to the arm, and engages slot BC. Find an expression for the velocity and
acceleration of link BCD.
2010 exam 2
1. Two spheres, each mass m, are attached at the ends of a rod with negligible mass. A
horizontal force, F, is applied rapidly to the rod a distance
a
from its mass center.
All
motion is in the horizontal plane, and friction is negligible.
Find:
a) The instantaneous acceleration of the rod’s mass center G (5 points)
b) The instantaneous angular acceleration of the rod (5 points)
A
1
O
1
B
C
D
Linear
bearings
θ
T
O
1
A
1
Length = d
Mass = m
Moment of inertia = I
O
, with
respect to the pivot O
1
Slider BCD
Mass = m
s
L/2
L/2
F
a
G

2010 exam 2
2. Water flows vertically into a fire hydrant at 5 ft
3
/sec, and exits horizontally, 3 ft above
the ground.
The pressure at the inlet is 100 lb/in
2
, the areas of the inlet and outlet are A
in
and A
out

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