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EXAM 1. OPEN BOOK AND CLOSED NOTES. ME 352  Machine Design I Fall Semester 2007 Wednesday, September 26th, 2007 Please use the yellow paper for your solutions. Write on one side of the yellow paper only. Where necessary, you can use the ﬁgures that are provided to show vectors and instantaneous centers of
zero velocity. Problem 1 (25 Points). (i) For the mechanism shown in Figure 1, use the Kutzbach criteria to determine the mobility of the
mechanism. Clearly label the lower pairs and the higher pairs on Figure 1. (ii) Draw the vectors on Figure 1 that are necessary for a kinematic analysis of the mechanism. Indicate
the direction of the vectors and label the angles. Also, draw a ﬁxed XY Cartesian reference frame on
Figure 1. (iii) Write the vector loop equation(s) that are required for the kinematic analysis of the mechanism. (iv) Identify a suitable input(s) for the mechanism. List the known variables, the unknown variables, and
any constraints. If you identiﬁed constraints then write the constraint equation(s). ‘31“; Laura]: “one. Figure l. 'A Planar Mechanism. 1 ...___._.___n___..._._._~___1 (i) Using a vector loop equation for the mechanism and Cramcrs rule, detennine numerical values for the
ﬁrst—order kinematic coefﬁcients of the mechanism. (ii) Using the answem from part (i), determine: Figure 2. A Planar Mechanism. 2 _. .  ~ m ’
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Exam 1  Fall semester 2007 Lab “Nb—x 4v
Problem 3 (25 points). The mechanism shown in Figure3 (on the foiIOWing 13335) 15 drill“;ng seat
1 inch = 4 inches. In the position shown in the ﬁgure, the input link IS mtamgwﬁﬁer with a
constant angular velocity (oz :15 rad/s. Link 6 is constrained to slide along the ﬁxed . The link
dimensions (in an] scale) are AB = 3.25 in, AB = 5 in, BD = 5.75 in, BC = 4 m. and ED = 4.25 m. \ I  s
(i) List the primary instant centers for this mechanism. N :1 “i? ,__ a it,"
‘ Inn, Ices t East Trust This] 135:." In. \/ 01) List the sﬁcondaty instant centers for this mechanism. w: = 1.; rag/3 In In . It; Iris.1129, 1:3qu 335L1 (iii) Locaie and label‘all the instant centers fog this mechanism on Figure 3 T0 hclp locate tbs secondary Instant centers use the Kennedy circle that is provided beside Figure 3. Clearly indicate the locations 0f
any instant centers that do not lie on the paper. (iv) Using the locations of the instant centers determine: (a) The magnitude and direction of the angular velocity of link 3. (b) The magnitude and direction of the angular velocity of link 4. (c) The magnitude and direction of the velocities of pins A and D.
(d) The magnitude and direction of the velocity of link 6. . _...—._.__ ____ ._
. _ "q " ME 352  Machine Design I Exam 1  Fall Semester 2007 Problem 3 (Continued). Figure 3. A Planar Mechanism. SCALE: 1 inch = 4 inches.  4 . ——mflnl ME1 352  Machine Design'l Fall Semester 2007 ' . .   ' ' 4 here ear
Problem 4 (25 Points). Consider the planar mechanism m the p051hon shown 12153111: 1 the lawn:
is constrained to roll on the ground link 1 at point C. The radius of circular gear P4 : I .  ' ' A = 5 . '
of the circular ground link is pl =3 in, the length of lmk 3 Is AB=3m,_and theﬂdistazice 0 ti 1111
The Velocity and the acceleration of the input link'2 are ‘33 = 5 i in/s and A: = "'2’ m/s ’ respec ve 5”
as shown on Figure 4. (i) Determine the ﬁrst—order and the secondorder kinematic coefﬁcients of link 3 and gear 4. (ii) Determine the angular velocity of link 3 and the angular velocity of gear 4. Give the magnitllde 311d
the direction of each vector. (iii) Determine the angular acceleration of link 3 and the angular acceleration of gear 4 Give the
magnitude and the direction of each vector. Figure 4. A Planar Mechanism. 5 l t ~., ~'
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This note was uploaded on 03/06/2012 for the course ENGR 195 taught by Professor Staff during the Spring '08 term at Purdue.
 Spring '08
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