DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 4, Problem 4.22P
For the walking-beam
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P
A general fourbar linkage configuration and its notation are shown in Figure
below. The link lengths, coupler point location, and the values of 02 and
w2 for the same fourbar linkages as used for position analysis in Chapter 4
are redefined in Table below. For the row c, draw the linkage to scale and
Using an analytical method calculate w3 and w4 and find the velocity of
point P. find the velocities of the pin joints A and.
RPA
AY
2
04
02
04
FIGURE P6-1
Configuration and terminology for the pin-Jointed fourbar linkage of Problems 6-4 to 6-5
TABLE P6-1 Data for Problems 6-4 to 6-5†
Row
Link 1
Link 2
Link 3
Link 4
02
02
Rpa
83
6.
2
7
30
10
6.
30
b.
9
3
8
85
-12
9.
25
10
6.
8
45
-15
10
80
O73
A general fourbar linkage configuration and its notation are shown in Figure
below. The link lengths, coupler point location, and the values of 02 and
w2 for the same fourbar linkages as used for position analysis in Chapter 4
are redefined in Table below. For the row c, draw the linkage to scale and
Using an analytical method calculate w3 and w4 and find the velocity of
point P. find the velocities of the pin joints A and.
RPA
Y
B
4
03
04
02
1
02
FIGURE P6-1
Configuration and terminology for the pin-jointed fourbar linkage of Problems 6-4 to 6-5
TABLE P6-1
Data for Problems 6-4 to 6-5†
Row
Link 1
Link 2
Link 3
Link 4
02
Rpa
83
02
a
2
7
9.
30
10
30
7
9.
8
85
-12
9
25
3
10
8
45
-15
10
80
Chapter 4 Solutions
DESIGN OF MACHINERY
Ch. 4 - A position vector is defined as having a length...Ch. 4 - A particle is traveling along an arc of 6.5-in...Ch. 4 - Repeat problem 4-2 considering points A and B to...Ch. 4 - Repeat Problem 4-2 with the particles path defined...Ch. 4 - Repeat Problem 4-3 with the path of the particle...Ch. 4 - The link lengths and the value of 2 for some...Ch. 4 - Repeat Problem 4-6 except solve by the vector loop...Ch. 4 - Expand equation 4.7b and prove that it reduces to...Ch. 4 - The link lengths and the value of 2 and offset for...Ch. 4 - Repeat Problem 4-9 except solve by the vector loop...
Ch. 4 - The link lengths and the value of 2 and for some...Ch. 4 - Repeat Problem 4-11 except solve by the vector...Ch. 4 - Find the transmission angles of the linkages in...Ch. 4 - Find the minimum and maximum values of the...Ch. 4 - Find the input angles corresponding to the toggle...Ch. 4 - The link lengths. gear ratio (). phase angle (),...Ch. 4 - Repeat Problem 4-16 except solve by the vector...Ch. 4 - Figure P4-5 shows the mechanisms for the following...Ch. 4 - For one revolution of driving link 2 of the...Ch. 4 - Figure P4-7 shows a power hacksaw, used to cut...Ch. 4 - For the linkage in Figure P4-8, find its limit...Ch. 4 - For the walking-beam mechanism of Figure P4-9,...Ch. 4 - For the linkage in Figure P4-10, calculate and...Ch. 4 - For the linkage in Figure P4-11, calculate and...Ch. 4 - For the linkage in Figure P4-12, find its limit...Ch. 4 - Prob. 4.26PCh. 4 - For the linkage in Figure P4-13, find its limit...Ch. 4 - Prob. 4.28PCh. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Figure 4-22 plots the cubic function from equation...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Model the linkage shown in Figure 3-37a in...Ch. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Figure 3-29g shows Evans approximate straight-line...Ch. 4 - For the linkage in Figure P4-16, what are the...Ch. 4 - The coordinates of the point P1 on link 4 in...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - For the linkage in Figure P4-17, calculate the...Ch. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - The elliptical trammel in Figure P4-18 must be...Ch. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Repeat Problem 4-60 except solve by the vector...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Figure P4-20 shows a cut-away view of a mechanism...Ch. 4 - For the linkage in Figure 3-32a, calculate and...
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- Define and show on the figure the necessary vectors and their angles for second mechanism and construct the corresponding vector-loop equation(s). please draw the vectors and angles and visually show them on mechanism you can name the angles theta1, theta2 etc. it should be looking exactly like the example( first mechanism).arrow_forwardplease very urgent and quickarrow_forwardA general inverted fourbar slider-crank linkage has links length: link 2 = a = 2, link 4 = c = 4, and link 1= d = 6 in. The input values are 02 = 60°, y = 90°. The linkage configuration and terminology are shown in figure below; note that this figure does not represent the real dimensions of the linkage We need to find the angular positions of link 4 (04), of link 3 (03) and the effective length of link 3 (b) for both open and crossed configurations. 03 Өд В 4 RB 02 02 1 02 04 Choose... For open configuration, the angle 04 measured form X axis CCW in degree = Choose... For open configuration, the angle 03 measured form X axis CCW in degree = Choose... + For open configuration, the absolute value of the effective length of link 3, b = Choose... For crossed configuration, the angle 04 measured form X axis CCW in degree = Choose... For crossed configuration, the angle 03 measured form X axis CCW in degree = Choose... For crossed configuration, the absolute value of the effective length of…arrow_forward
- Consider that we have a 3-R robot as shown in the figure below. The lengths of the links are: 11-12-13=2. The position and posture of the tool's center point is Pt (x₁, y₁, α), the driving variables are 01, 02, 03, and the output variables are v,v,, w.. (It is in the initial position) yo 1₁ Y₁ 0₁ Y₂ 12 02 X1 -X2 V3 13 P₁ X3 a Xoarrow_forwardThe general linkage configuration and terminology for an offset fourbar slider-crank linkage are shown in Figure below. The link lengths and the values of 02 and w2 are defined in. For the row(s) b and c, find the velocities of the pin joints A and B and the velocity of slip at the sliding joint using an analytical method. Draw the linkage to scale and label it before setting up the equations. y A 03 B Y 4 Link 3 A W2 Offset 02 04 = 90° Link 2 X 02 Slider position d TABLE P6-2 Data for Problems 6-6 to 6-7† Row Link 2 Link 3 Offset 02 02 a 1.4 4 1 45 10 2 -3 60 -12 3 8 2 -30 -15arrow_forward4arrow_forward
- hi. Could you help me ?.arrow_forwardHow we can find OB by Trig Please I want with stepsarrow_forwardThe general linkage configuration and terminology for an offset fourbar slider-crank linkage are shown in Figure below. The link lengths and the values of 02 and w2 are defined in. For the row(s) b and c, find the velocities of the pin joints A and B and the velocity of slip at the sliding joint using an analytical method. Draw the linkage to scale and label it before setting up the equations. Link 3 Offset 04 = 90° Link 2 02 Slider position d TABLE P6-2 Data for Problems 6-6 to 6-7† Row Link 2 Link 3 Offset 02 1.4 4 1. 45 10 2 6. -3 60 -12 3 8. -30 -15arrow_forward
- Use rotation about the current frame to calculate the transformation matrix for a rotation of 90° about yo axis and then 90° about zo axis.arrow_forwardMFG 232: Åpplied Statics LAB 8A : Moment ota Force 3-6 Calculate the moment about point A in Figure P3-6. 800 lb 200 lb 400 lb -7' 3- Figure P3-6arrow_forwardConsider the figure as shown below. O-XoYoZo is the reference frame and O-X₁Y₁Z₁ is the frame attached to the tool. Sketch the tool position after each intermediate position of the operation of the tool about the reference frame: roll π/2(rotate about Zo), pitch -T/2(rotate about Yo), yaw π/2(rotate about Xo). Please write the final rotation matrix expression. ZI,Zo XI,Xo Yı, Yoarrow_forward
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