In the figure shown below, m2 = 4 rad/s CCW (constant). Write the approproate vector equations, ve them using vector polygons, and and w3. Determine vC3, VB4> and az. O Determine ac3, aB4>
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- A pole extends from the origin to point A. A wire connects points A and B. Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4.5 m 2 m 2.5 m 1.5 m a. Determine the position vector from point A to origin (r AO), express as a cartesian vector. b. Determine the position vector from point A to B (7AB), express as a cartesian vector. Round your final answers to 3 significant figures. k) m AO k) m TABA‚A = r2 = 0.2 m ABo = rị = 0.5 m = 60° Kinematic diagram, the limb dimensions are given below, the drive link in the arm slide mechanism angular position 012 = 600 and the speed of the mechanism is constant 0 12 = as 50 rad /s 012 12 = 50 rad/s are given. Do the following operations respectively. a- Write the Vector Closure Equation and bring it into scalar %3D form. AO b- Find S13, 014 Konum by doing position analysis. c- Analyzing speed S13, 014 S13 Find 014 Bo 012 AoConsider 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, Yo
- Solve the following with diagramIn the figure, we apply a transformation matrix to box A to obtain box B. (a) Derive the 3 x 3 homogeneous matrix that achieves the transformation in the figure. (b) Compute its inverse. B a A bThe linkage in Figure 1 has link 3 perpendicular to the X axis and links 2 and 4 are parallel to each other. Find @3, 04, VP, α4, AA, AB, and Ap if ₂ = 15 rad/sec CW and α2 = 100 rad/sec² CW. Use an analytical method. B YA 02 2 04 X Figure 1 L₁ = 4.43 L2 = 2.75 L3 3.26 L4 2.75 AP = 1.63
- 3 25 cm B P 25 cm A 25 cm 03 04 02 10 cm (crank) 20 cm FIGURE 1. Hoeken's linkage (a) Solve for 03 and 04 if the crank angle 02 = 120°. Show your work. (You may want to use the scripts to verify your answers.) (b) Find the position of point P when the crank angle is at 60 degrees.In the figure shown, I=170mm, b-70mm and wAB=1100rpm (clockwise) Solve for (a) the velocity(m/s) of Pwhen 0-50° (b) the angular velocity(rad/s) of BD when 0-50°. (Note: WAB is constant)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 R
- Prove the following equationsStarting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the -x-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically and algebraically.What is the equation of the circle that has radius of 9 and centre at 3 8)2 O (x+3)°+(y-8)°-9 O (x-3)²+(y+8)² – 81 O (x-3)° +(y18)²-9 O (x+3)² + (y-8)²=81 A Moving to another question will save this response.