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Unformatted text preview: ME 364  Kinematics NAME SﬂCU T/mt/
Summer Term, 2006
Exam, 100 Points, Open Book 1. (20 Points) Determine the degrees of freedom in the following kinematic chains (show your work for credit). .3 Will/I’ll, (a)DF= I
DF= BarI)  10W)  10/ ' /{0/ PF: XI/)~.2(5‘+o)/(u—W W Mat0w [1+ 04940)
= [aw/04:) = lot2154:) :793—/:
Rolling r .
, / e4,
5 7} . ,7 DF: 3&4) — &(3+1)—/[/))[/) pp: 3g.,)_ 90%?) W/JQ/
: ’4‘ 5)" " ’9 = /r~ w: ./, 2. (20 Points) Determine the locations of all of the instant centers in the mechanism below. Clearly identify the
location and identity of each one. Location accuracy is part of the grade. MAE 364  Kinematics, Summer 2006 Exam Page 2
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3. (30 Points) Link 2 is rotating iclockwise at a rate of 4 radians per second. Using the vector polygon method,
determine the angular velocities of bodies 3 and 5 , and determine the velocity of the pin at B (Magnitudes and directions). The mechanism is showpnﬂllggale. n.91i/s
46 M/s’
Ov
1”=1 in/sec
“53/, 1 mm =1 mm/sec ”my; W0 kHer :
r e __ . 37m 43sz II‘MA 0 l/ﬁﬁ‘: Owl/9% .: /,/.?/n ‘fin/i: t/ljaigA, V 7W” 53 v
/ ./ : 3 .. £65“ 21. MAE 364  Kinematics, Summer 2006 Exam Page 3 4. (30 Points) Using the complex number approach, analyze the mechanism shown. (a) Determine the series of scalar equations which must be used to solve for the
output (Link 4) position and velocity assuming that the distance, L, the angular position, 9 , and angular velocity, 9 of the Link 2 is known. (Box
each equation in the answer) (b) If L = 2.50 inches, 9 = 40°, and Link 2 is known to be rotating clockwise at a
constant rate of 30 rad/sec, determine the velocity of the output (Link 4). x'Velocity= lag/”[5 J/
\> A _>
R = L + y W R615: L 7"er {6) L: «2157) W
REM 9+j 5/215) 1' L my wW/ﬂ , ' ”’w ‘3'” v 3; 26/527 W "
:Q, m" ” Re / ' ’o
a ; 3.va ~30 m M
Rwﬁé— Aer/«ﬂ: 0/ ar WWL/meﬁé/ R : _ 92/5321“; : J»). 5w ~ Z5700
=  NZ? 1% (Ag Com 5, fir/7%,” ...
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 Fall '09

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