For the fourbar linkage shown
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- Consider 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, YoThe general linkage configuration and terminology for an offset fourbar slider- crank linkage are shown in the figure. The link lengths and the values of d, d.d and d..d are defined in the table. For row a, using graphical method, the value the acceleration of pin joint A is Row la b C d le If g 02 002 Link 2 1.4 2 3 3.5 5 3 0₂ Y Link 2 O 792.064 in/sec2 0₂ 291.385 in/sec2 O 1,593 in/sec2 O 1,779 in/sec2 Link 3 14 16 18 10 20 13 25 Link 3 Offset 1 -3 2 1 -5 10 10 Offset 03 Slider position d, d, d d 2.5 5 8 -8 15 -12 25 y B d.d d..d 10 -12 15 -15 -10 24 -4 -50 10 -45 50 100 18 04 = 90° 10 Xtheta 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 4
- 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 -15Solve and Draw the following. [Tech pen (0.2 light, 0.4 medium, 0.6 above heavy)] Consider a four bar linkage with the following links: L0 = 180mm, L1 = 40mm, L2 = 170 mm. Using grashof criterion, determine the ranges of values for L3 if the linkage is: a) crank-rocker mechanism b)drag link mechanism c) double rocker.Q3) You have been provided with following types of kinematic links. Can Type of link Numbers Binary 8 Ternary 3 Quaternary 2 Can you form a kinematic chain by selecting suitable number of links from the available quantity as indicated in the table above? Justify your answer. Note; (please provide an answer that is based on the Mechanics of Machines 1 handout MIME 3220)
- Solve and Draw the following: Consider a four bar linkage with the following links: L0 = 180mm, L1 = 40mm, L2 = 170 mm. Using grashof criterion, determine the ranges of values for L3 if the linkage is: a) crank-rocker mechanism b) drag link mechanism c) double rocker.The link lengths and the value of 2 and offset for some fourbar crank-slide linkages are defined in Table 1. The linkage configuration and terminology are shown in Figure 1. For the rows assigned, find (a) all possible solutions for angle and slider position d by vector loop method. (b) the transmission angle corresponding to angle 83. (Hint: Treat the vector R4 as virtual rocker) Show your work in details: vector loop, vector equations, solution procedure. Table 1 Row a b с offset 02 Link 2 1.4 3 5 A R2 0₂ Link 3 4 8 20 slider axis. R3 Link 3 R₂ d R₁ Figure 1. 0₁ Offset 1 2 -5 С B R4 T 84 X Q2 45° -30° 225°All 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° X
- Figure out the 2D sketch of housing using AutoCAD and mention all the dimensions. Colour the hatched lines which are inside the curve (red) 37 30 14 R 2 holes 72 Dia 12R 60R 30 R 24 10 R 15R Housing 60 RThe 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 -15Slide 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.