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Unformatted text preview: AEM 264002/003 Dynamics —~ Test #1 Spring 2007 Instructions:
0 Closed book, closed notes test, one 81/2 inch by 11 inch sheet of handwritten formulas allowed, with
no worked example problems. You must turn in your formula sheet with your test.
0 90 minute time limit — strictly enforced. 0 Show all of your work. 1. A projectile is launched from a height of 1000 feet at
an angle of 20 degrees below the horizontal as shown. 6=20 degrees
The launch velocity is 50 mph. V 
o How long does it take the projectile to travel 0
from A to B? 1000ft
o What is the horizontal distance from A to B?
o What are the proj ectile’s velocity (vector) and
speed (scalar) on impact at B?
2. A car leaves the highway at point A and travels at a B constant speed of 62 ft/s from point A to point B
along a curve of radius rc=3 00 ft. The truck remains
on the highway and has a speed of 70 ﬁ/sec at point
C. The truck slows at a constant rate and reaches
point D at the same time that the car reaches point B.
Points B and D are at the same Y position. o How long does it take the car to travel from A D
to B? o What is the velocity of the truck at point D? o What is the velocity of the car at point B with ;
respect to the truck at point D? o What is the acceleration of the car at point B
with respect to the truck at point D? C 3. Two masses A and B are arranged with pulleys as shown
on the left. Mass A has an initial velocity (t=OS) to the left of 1.2 m/s. Mass B has a constant acceleration of 0.4 m/s2 down.
0 What are the velocities of the blocks after 3 seconds? 0 How far has block B traveled from t=0s to t=3s? Gnrcm a? 5/“ch : f e = 90" _ _ 7
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 Fall '08
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