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Unformatted text preview: Hour ExamTAM212, March 3, 1999 Name SS# Section ° Put your name on each sheet of work.
° Show all work on these exam sheets. ' Please write clearly and legibly. Formula Sheet: Cylindrical coordinates: v,, = fer + r9 ee + z‘k .2 .. .
(P rQ/Ler+ (n9+ 2,16%0 +21: :9
'21
 Intrinsic coordinates: v,, = s et Coordinate transformation e3 j er = cosOi + sin0j
er en = — sin6i + cost9j
: i = cosOer — sinﬂee
B i j = sint9er + cosQeo
va— vAf Coefﬁcient of restitution: e =
VAi  vBi a1 Name SS# Section ' PART A: Answer ALL the following.
Circle your choice CLEARLY in the multiple choice question (10 points) A1) At the instance shown a ball is moving along inside of a circular rim at a speed of 4 m/s. The
mass of the ball is 10 kg and the rim has a radius of 2m. Find the value of normal force acting on the ball from the rim. a) 0 er N
f’" b) 80 er N
—> c) 98.1 er N
e' d) —80 er N
c) 98.1 er N A2) What will be the speed of the ball when it reaches the bottom of the rim (neglect friction)?
a) 7.43 m/s
b) 4 m/s
c) It will not reach the bottom
d) 21.62 m/s
e) 14.83 m/s A3) A box is being dragged along the ﬂoor by a rope as shown in ﬁgure over a distance of 10 min
7 seconds. If the tension in the rope is T N, ﬁnd the work done by the rope on the body a) IOTNm
b) 3.5T Nm
c) 70T Nm
d) —10T Nm
e) 5T Nm a2 Name SS# Section A4) A ball of mass, m kg, is thrown horizontally with velocity, v0 m/s, from height, h m, from the
ground. After two bounce the ball falls into a stationary toy cart of mass, m kg. Find the horizontal
velocity of the can with the ball inside. a) v0 m/s V0 d)ve4 v0 m/s
b) ,l2ghv0 m/s
h v0 . e) ,/2?h e4 v0 m/s
c) 7 m/s A5) A bug is sliding down a curve given by the expression, y = x3. If the x—velocity of the bug at
x=2 cm is 5 cm/s, find the y—velocity of the bug. k a) 40 cm/s b) 60 cm/s c) 5 cm/s d) 90 cm/s e) 10 cm/s Name SS# Section
PART B: Answer ALL the following. B 1) A 12 kg block swings down as shown and strikes an identical block. The coefficient of restitution
is 0.6. How far will block B move to the right befOre it comes to rest if coefficient of friction is 0.2. a4 Name SS# Section B2) The rotation of arm 0A is defined by 0 = t2 (0 is in radians). Block B slides along the arm in such a way that its distance from the point 0 is given by r = 4 + 0 (r is in meters).
of the block a) When 0 = 71/3 radians = 60° determine the velocityM'fﬁ’ﬂn‘i‘, .1}
along radial and circumferential directions (ie., along er and co). ' WW
u a5 ...
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 Spring '10
 richard

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