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Unformatted text preview: EGM 3400/3401 Exam 2 Name
Work any three of the four problems. Only three problems will be graded. Indicate ch problem you do not want graded. If you do not indicate a problem, you will be graded on the ﬁrst three pro lems. Each problem is North 33 points. 1. A 17.5lb sphere A of radius 4.5 in. moving with a velocity v0 of magnitude v0 = 6 ft/s strikes a 1.61b sphere
B of radius 2 in. which was at rest. Both spheres are hanging from identical light ﬂexible cords. Knowing that the coefﬁcient of restitution is 0.8, determine the velocity (magnitude and direction) of sphere A immediately
after impact. 21) Draw a diagram to the right of the ﬁgure below for each ball showing all the impulses, and calculate the
angle between the normal and xaxes. (10 points) Ab) Write the appropriate equations you need to solve this problem for conservation of momentum and ,, coefﬁcient of restitution. (10 points) 0 CW5 ' IF MM" 1” y ﬁnch” ma Va ‘l‘ "ﬂy/(i: ' MAVA I 1‘ Mb Uta/Cd? 6 ((0
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“AN/0 : MJv,/+ Mg 4,06 < L/A/ng 6 +6,th A EGM 3400/3401 Exam 2 Name 2. The three blocks shown are identical. Blocks B and C are at rest when block B is hit by block A which is moving with a velocity VA of 3 ﬁ/s. After the impact, which is assumed to be perfectly plastic (e = O), the
velocity of blocks A and B decreases due to friction, while block C picks up speed until all three blocks are
moving with the same velocity v. Know that the coefﬁcient of kinetic friction between all surfaces is ,uk = 0.20,
determine the time required for the three blocks to reach the same velocity. ‘8 a) What is the velocity of C just after impact? (7 points) / \/¢’~O b) Find the velocity of A and B just after impact. .(7 points) 0 / /
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FﬁEClt : M3WAt EGM 3400/3401 Exam 2 Name d) Determine the time required for the three blocks to reach the same velocity. (12 points)
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Magnitude 4 m/s. The wedge can roll freely on the ground and is initially at rest. Knowing that the coefﬁcient
of restitution between the wedge and the sphere is 0.50 and that the inclined surface of the wedge forms an angle 6 = 40° with the horizontal, determine the velocity of the sphere immediately after impact. a) Draw a diagram to the right of the ﬁgure below for the ball and the block showing all the impulses. (10
points) b) Write the appropriate equations you need to solve this problem for conservation of momentum and
coefﬁcient of restitution. (10 points) (“mmUm is WSQWJL Ea. )(v oetrecitzm
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7.? 4.940" —» 6 K3 1 Vfg : ’\27L}‘ m/S SO“ EGM 3400/3401 Exam 2 Name 4. A 1.3lb sphere A is dropped from a height of 1.8 ft onto a 2.6lb plate B which is supported by a nested set
f‘of springs and is initially at rest. Knowing that the coefﬁcient of restitution between the sphere and the plate is e = 0.8, determine the height h reached by the sphere after rebound. a) Find the velocity of sphere A just prior to impact. (Please show your work to the right of the diagram below). (8points) 0
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 Summer '08
 Matthews
 Dynamics

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