DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 2, Problem 2.75P
Calculate the Grashof condition of the fourbar
- 80 140 280 360
- 80 160 240 320
- 80 180 280 360
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1. Find a combination
of link lengths where motion of a point on output link is one
quarter of a circle.
2. Find the value of all 0, 0, 0, and y in open and close configuration
Read the value of link lengths and the input angle 8., then use the
formulae given below to calculate the value of unknowns 03, 0, and y
K₁ = = K₂= d
K2
K3
=
a²-b²+c²+d²
2ac
A = cos 0₂ - K₁ - K₂ cos 0₂ + K3
B = -2 sin 0₂
C = K₁ (K₂ + 1) cos 02 + K3
-B± √B²-4AC
2A
0412 = 2tan-1
d
K₁ = —
K5
=
c²d²a²-6²
2ab
D = cos 0₂ - K₁ - K4 cos 0₂ + K5
E = -2 sin 0₂
FK₁+ (K₁ - 1) cos 02 +K5
0312
2 tan-1
(-E±
-E± √E²4DF
2D
Y = 04-03
The 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 -15
Slide B travels along the center line XX'. Q2A = 18 cm, AB = 72 cm. 1. With the crank in the position shown, draw the four bar linkage. Name each link and show the finite and infinite cranks.2. Find the two extreme positions of block B. Express your answer in terms of the acute angle formed by crank Q2A with the horizontal axis (like the angle 45° in the figure)3. Determine the length of the stroke of B. Write your answer in two decimal places.
Chapter 2 Solutions
DESIGN OF MACHINERY
Ch. 2 - Find three (or other number as assigned) of the...Ch. 2 - How many DOF do you have in your wrist and hand...Ch. 2 - How many DOF do the following joints have? Your...Ch. 2 - How many DOF do the following have in their normal...Ch. 2 - Are the joints in Problem 2-3 force closed or form...Ch. 2 - Describe the motion of the following items as pure...Ch. 2 - Calculate the mobility of the linkages assigned...Ch. 2 - Identify the items in Figure P2-1 as mechanisms,...Ch. 2 - Use linkage transformation on the linkage of...Ch. 2 - Prob. 2.10P
Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.12PCh. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - Prob. 2.16PCh. 2 - Describe the difference between a cam-follower...Ch. 2 - Examine an automobile hood hinge mechanism of the...Ch. 2 - Find an adjustable arm desk lamp of the type shown...Ch. 2 - The torque-speed curve for a 1/8 hp permanent...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the Grashof condition and Barker...Ch. 2 - Find the rotatability of each loop of the...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the mobility of the ice tongs in Figure P2-6:...Ch. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Find the mobility of the corkscrew in Figure P2-9.Ch. 2 - Figure P2-10 shows Watts sun and planet drive that...Ch. 2 - Figure P2-11 shows a bicycle handbrake lever...Ch. 2 - Figure P2-12 shows a bicycle brake caliper...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - The approximate torque-speed curve and its...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Sketch the equivalent linkage for the cam and...Ch. 2 - Describe the motion of the following rides,...Ch. 2 - For the mechanism in Figure P2-1 a, number the...Ch. 2 - Repeat Problem 2-38 for Figure P2-1b.Ch. 2 - Repeat Problem 2-38 for Figure P2-1c.Ch. 2 - Prob. 2.41PCh. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Figure P2-20 shows a Rube Goldberg mechanism that...Ch. 2 - All the eightbar linkages in Figure 2-11 part 2...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Repeat Problem 2-38 for Figure P2-1f.Ch. 2 - Repeat Problem 2-38 for Figure P2-1g.Ch. 2 - For the example linkage shown in Figure 2-4 find...Ch. 2 - For the linkage shown in Figure 2-5b find the...Ch. 2 - Prob. 2.58PCh. 2 - Figure P2-21b shows a mechanism. Find its mobility...Ch. 2 - Prob. 2.60PCh. 2 - Figure P2-21 d shows a log transporter. Draw a...Ch. 2 - Figure P2-21e shows a plow mechanism attached to a...Ch. 2 - Figure P2-22 shows a Hart inversor sixbar linkage....Ch. 2 - Figure P2-23 shows the top view of the partially...Ch. 2 - Figure P2-24a shows the seat and seat-back of a...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-25 shows a sixbar linkage. Is it a Watt...Ch. 2 - Use number synthesis o find all the possible link...Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.71PCh. 2 - For the mechanism in Figure P2-26, number the...Ch. 2 - Figure P2-27 shows a schematic of an exercise...Ch. 2 - Calculate the mobility of the linkage in Figure...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - The drum brake mechanism in Figure P2-4g is a...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Locate all the centros from the 6 bar linkage shown below. Show the centro polygon step by step and name each centro found through the mechanism. Ks = 1 inch : 1 foot Kv 1 inch 16 fps Mechanism 1: Dimension in inches G Tek 2 3 G K 1.0000 1.5000 3.5000 94° G K 2.5000 2 45° 1.0000 3 1.0000 2.0000 - 01.0000arrow_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_forwardIdentify whether the following set of dimensions determines a Grashoff, Non-Grashoff or SpecialCase mechanism. If it is a Grashoff mechanism state what is kind of kinematic inversion it isarrow_forward
- = Given the crank-slider linkage shown in Figure 1 with the linkage lengths as follows: L₂= 500 mm, L32 250 mm, and L₁= 550 mm. The distance between the supports is L₁ = 500 mm. When the angles of the links are 8₂ 36.87° and 83 53.13° the rotational angle rates of the links are wz 8 rad/s and w3 = -11.8859 rad/s. If the link R, is rotating in counterclockwise (CCW) direction with a rotational acceleration of az 5 rad/s², determine the rotational acceleration of links R₂ and the acceleration of the slider R2 03 R₁ R3 isin) R4arrow_forwardA 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 80arrow_forwardA 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 O73arrow_forward
- Identify whether the following set of dimensions determines a Grashoff, Non-Grashoff or Special Case mechanism. If it is a Grashoff mechanism state what is kind of kinematic inversion it is (ex. Crank-Rocker, etc.). Provide necessary computationsarrow_forwardGiven the following dimensions for this four-bar linkage mechanism, determine 03 and 04 analytically, not graphically. 0₂04 = 100 mm O₂A = 40 mm AB = 80 mm O4B = 110 mm 1 2 30° 3 B 4 1 OAarrow_forwardDraw the Kinematic Diagram and Determine the Mobility of the following.arrow_forward
- Draw the kinematic diagrams of the following mechanisms and compute the number of Degreesof Freedom (Mobility)arrow_forwardDraw the kinematic digrams of the following mechanisms and compute the number of Degreesof Freedom (Mobility) of the figure belowarrow_forwardAll pertinent rigid dimensions are specified for the linkage shown. Note that the ground pivot for the input link is at the origin of the coordinate system. The input angle []in is currently 170° measured from the x axis as shown. The figure is not exactly to scale, but it is reasonably close for checking purposes. (a) Calculate the value of the angle []out as shown on the figure. Use the equations developed from the loop closure method. Note that you will need to incorporate a change of coordinate axes orientation to the axes defined for the loop closure equations. (b) Calculate the absolute location of point P with respect to the coordinate axes shown. 18 30° 9° 9 P 20 50° -170° Xarrow_forward
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