DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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A 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…
Refer to the figure below for the mechanism. If link 2 rotates at a speed of 60 revolutions per minute in a counterclockwise direction , find the velocity, using resolution and composition method of:
A point connecting link 2 to link 3
A point at the center of link 2
A point at the center of link 3
Of the slider
Also, locate all the instantaneous centers.
Find the velocity of point B and angular velocity in link 3 using relative analysis and polygon method. Note
the drawing is not in scale.
B
02
@2=1 rad/s
2
30°
A
1
3
4
04
02A=4"
AB=7"
0204-=9"
04B=8"
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- The figure shows a variation of the Scotch-yoke mechanism. It is driven by crank 2 at an angular velocity and acceleration of 36 rad/s ccw and 120 rad/s2 ccw, respectively. Find the velocity and acceleration of the crosshead, link 4.|AO2|=75 mm. (Using Complex Algebraic approach do the Position Analysis; Velocity Analysis and Acceleration Analysis then solve the problem please)arrow_forwardThe linkage in Figure P7-5b has 04A = O2A = 0.75 , AB = 1.5 , and AC = 1.2 in . The effective crank angle in the position shown is 77º and angle BAC = 30 ° . Find a3 , AA , AB , Ac for the position shown for m2 = 15 rad / sec and a2 = 10 rad / sec2 in the directions shown using an analytical method . ( Hint : Create an effective linkage for the position shown and analyze it as a pin - jointed fourbar . ) the linkage has a parallelogram form Assume rolling contact C 02 A 3 . B 02 02 Tarrow_forwardtheta O = 55 The link length and value of O2 for some four bar linkage are defined below, (drive link =4.2 cm , coupler link =5.9 cm , follower link = 5.9 cm, fixed link= 6.85 cm 1. draw the linkage to scale and graphically find all possible solution (both open and cross) for 03 and O4 2. If w = 2 rad /s (CCW) find the angular velocity for bar 3 and 4 3.if a= 5 rad/s? (Ccw) find the normal and tangential acceleration for link 3 and 4arrow_forward
- 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 -15arrow_forwardRefer to the figure below for the mechanism.If link 2 rotates at a speed of 60 revolutions per minute, find the velocity, using resolution and composition method of: A point connecting link 2 to link 3 A point at the center of link 2 A point at the center of link 3 Of the slider Also, locate all the instantaneous centers. Use counterclockwise direction.arrow_forwardRefer to the figure below for the mechanism. If link 2 rotates at a speed of 60 revolutions per minute, find the velocity, using resolution and composition method of: A point connecting link 2 to link 3 A point at the center of link 2 A point at the center of link 3 Of the slider Also, locate all the instantaneous centers. Use counterclockwise direction.arrow_forward
- 7- Figure P6-28 shows a quick-return mechanism with dimensions. Calculate the velocities of points A, B, and C and the velocity of slip for the position shown. ₂ = 10 rad/s CCW. L₂=1.00 in L4=4.76 Ls=4.55 0₂ = 99⁰ 040₂ = 1.69 @ 15.5° 00₂ X 2.86 inarrow_forwardInput crank AB of the mechanism described above is currently at 60 degrees and is rotating CCW with a speed of 2 rad/sec, while accelerating with 2 rad/sec2.What is the tangential component of acceleration of point C with respect to B and its direction?arrow_forward60⁰, According to linkage shown in the figure, Link 3 must be perpendicular to link 2. If the angular velocity of link 2 is 100 rad/sec CW and Using loop closure method, calculate the acceleration of point C and the angular acceleration of link 3. B 10" 3 = 3arrow_forward
- Solve it using complex algebra; otherwise, do not solve it. Calculate the rotational speed. theta 3' prime, and acceleration, theta 3" double prime for the mechanism in Fie 3 if theta3-50. roa=5cm and Rab= 15cm. using complex algebra method Subject: Theory of machine and mechanismarrow_forward1. 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 = 04-03arrow_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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