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Unformatted text preview: Problem #1 (36 points, 9 points each part) . Sphere A of radius RA = 4.5 in. and weight  r n WA = l7.5 lb, moving with initial velocity VA1 of
magnitude 6 ﬁ/s strikes sphere B, (RB = 2.0 in.
and W3 = 1.6 lb) which is initially at rest. Both
spheres are hanging from identical light ﬂexible
cords. The coefﬁcient of restitution is COR = 0.8. The angle Gshown is 22.62’. The subscript 2 indicates the instant just after the impact. a) Find the unit normal vector en as shown. b) Find the nonnal component of the initial linear momentum of the system A and B, L1“. 0) Find the normal component of the linear momentum of the system A and B, just after the impact (LZn) in terms of the unknown velocity magnitudes VA; and sz. ’ I? 5' @4‘ (1) Find VA; and 1232. ﬁzz: ﬂﬂ5¢3 F7 WWW V5211 9” VEZ
: a 523 (M); m )4» {Mt/t?) V32
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. M “92: 7:5) #775 VH1 =5/0 14% Problem #2 (28 points) A bullet of mass mg is ﬁred with
a horizontal velocity of
magnitude v”; = 500 m/s through
a 3—kg block A and becomes embedded in a 2.5kg block B. We label with subscript 2 an
instant of time when the bullet is
between the blocks, and subscript 3 when the bullet is embedded in
block B. The blocks A and B
start moving with velocities of 3
M I 5 "7/5 m/s and 5 m/s, respectively. . V4 2" 5 VA; ‘
Determme the energy lost as the bullet passes through the block ZV’tyMinj its ., AMZ’
mg": 3 z; .a g AlS
made/2: 4%, “my few/1%; 500 6/,”
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while end A moves to the right with a
constant velocity magnitude of vA = 2 ﬁ/s. " The point C on the rod has unknown velocity magnitude vc. All questions refer to the instant
of time shown. Find a) the relative position vector rC/A. b) the unit vector in the direction of the rod
eC/A~ c) the velocity vector of the rod vc at C in terms
of the unknown magnitude VC. (1) the angular velocity of the rod (0.
e) the velocity of end B of the rod, VB.
f) Who is buried in Grant’s tomb? . A a V
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 Spring '09
 JohnTichy
 Dynamics, Dot Product, Kinetic Energy, constant velocity magnitude, unknown velocity

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