1. A plate is subjected to a couple Fd, with d= 20cm , as shown below left. Verify that the couple can be moved to the position shown below right, and the effect on the plate is the same, by showing that the moment about point o in both cases is М--20F. 30 cm 20 cm, 100 cm 20 cm 100 cm F F )cm 100 cm 100 cm

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break. The mrore sophisticateu analysis carried out in the following Chapters is
necessary to deal with this and many other questions of material response.
2.3.4
Problems
1. A plate is subjected to a couple Fd, with d= 20cm , as shown below left. Verify
that the couple can be moved to the position shown below right, and the effect on the
plate is the same, by showing that the moment about point o in both cases is
М -- 20 F.
30 cm
20 cm
100 cm
20 cm
100 cm
F
cm
100 cm
100 cm
Solid Mechanics Part I
27
Kelly
Section 2.3
2. What force F must be applied to the following static component such that the tension
in the cable, T, is 1kN? What are the reactions at the pin support C?
150 mm
T
250 mm
150 mm
F
3. A machine part is hinged at A and subjected to two forces through cables as shown.
What couple M needs to be applied to the machine part for equilibrium to be
maintained? Where can this couple be applied?
100 N
100 mm
75 mm
M
50 N
9.
Transcribed Image Text:break. The mrore sophisticateu analysis carried out in the following Chapters is necessary to deal with this and many other questions of material response. 2.3.4 Problems 1. A plate is subjected to a couple Fd, with d= 20cm , as shown below left. Verify that the couple can be moved to the position shown below right, and the effect on the plate is the same, by showing that the moment about point o in both cases is М -- 20 F. 30 cm 20 cm 100 cm 20 cm 100 cm F cm 100 cm 100 cm Solid Mechanics Part I 27 Kelly Section 2.3 2. What force F must be applied to the following static component such that the tension in the cable, T, is 1kN? What are the reactions at the pin support C? 150 mm T 250 mm 150 mm F 3. A machine part is hinged at A and subjected to two forces through cables as shown. What couple M needs to be applied to the machine part for equilibrium to be maintained? Where can this couple be applied? 100 N 100 mm 75 mm M 50 N 9.
104
KINEMATICS AND DYNAMICS OF PLANE MECHANISMS
14. Draw the velocity and acceleration diagrams for the Andreau engine mechanism
(Fig. 4-44), and determine vD, aD, ws, and as.
A
w2
2 60°
O,A=4.75 in.
O,B=6.5 in.
AB=12 in.
AC-13.25 in. .
ВС-2 in.
CD-14.5 in.
13 in.
B
5
6D
12 in.
FIG. 4-45 (Probs. 15 to 17)
15. Figure 4-45 illustrates the mecha-
nism of Atkinson's engine. Determine
VD by the method of instant centers;
оз 3 10 гаd/sec, ссw.
16. Determine the velocity of D of
Fig. 4-45, using the orthogonal-velocity
method; wz = 15 rad/sec, ccw.
17. Construct the velocity and acceler-
ation diagrams for the mechanism of Fig.
4-45, assuming that wa 15 rad/sec,
ccw, const.
A on 2 and 3
S on 4, coincident with A
2.
O, 1 0, 45°
Determine vD and ap.
18. Construct the velocity and acceler-
ation diagrams for the Whitworth quick-
return motion (Fig. 4-46), and determine
Vc and ac.
0,0,-1.5 in.
O,A-5 in.
0,B-3 in.
Вс-12 in.
Wg-6 rad/sec
FIG. 4-46 (Prob. 18)
Digitized by Google
Original from
UNIVERSITY OF MICHIGAN
Transcribed Image Text:104 KINEMATICS AND DYNAMICS OF PLANE MECHANISMS 14. Draw the velocity and acceleration diagrams for the Andreau engine mechanism (Fig. 4-44), and determine vD, aD, ws, and as. A w2 2 60° O,A=4.75 in. O,B=6.5 in. AB=12 in. AC-13.25 in. . ВС-2 in. CD-14.5 in. 13 in. B 5 6D 12 in. FIG. 4-45 (Probs. 15 to 17) 15. Figure 4-45 illustrates the mecha- nism of Atkinson's engine. Determine VD by the method of instant centers; оз 3 10 гаd/sec, ссw. 16. Determine the velocity of D of Fig. 4-45, using the orthogonal-velocity method; wz = 15 rad/sec, ccw. 17. Construct the velocity and acceler- ation diagrams for the mechanism of Fig. 4-45, assuming that wa 15 rad/sec, ccw, const. A on 2 and 3 S on 4, coincident with A 2. O, 1 0, 45° Determine vD and ap. 18. Construct the velocity and acceler- ation diagrams for the Whitworth quick- return motion (Fig. 4-46), and determine Vc and ac. 0,0,-1.5 in. O,A-5 in. 0,B-3 in. Вс-12 in. Wg-6 rad/sec FIG. 4-46 (Prob. 18) Digitized by Google Original from UNIVERSITY OF MICHIGAN
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