What isO2 and o4 Time leftThe mechanism below is analyzed as a pin-jointed four bar linkage. The link 2 (02A) IS tninput link, the link 3 (AB) is the coupler link and the link 4 (O2O4) is the output link. At theposition shown the link 2 makes an angle 0 = 40° with the vertical axis.We need to find the input angle 02, and the output angle 0, with respect to X axis.angles must be measured CCW from X axis.1.5"023"10"312"6".4

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Time The mechanism below is analyzed as a pin-jointed four bar linkage. The link 2 (UA) IS input link, the link 3 (AB) is the coupler link and the link 4 (O204) is the output link. At position shown the link 2 makes an angle 0 = 40° with the vertical axis. %3D We need to find the input angle 02, and the output angle 04 with respect to X a anales must h

Time The mechanism below is analyzed as a pin-jointed four bar linkage. The link 2 (UA) IS input link, the link 3 (AB) is the coupler link and the link 4 (O204) is the output link. At position shown the link 2 makes an angle 0 = 40° with the vertical axis. %3D We need to find the input angle 02, and the output angle 04 with respect to X a anales must h

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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°
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
3. Given a fourbar slider-crank linkage with the link lengths L2 = a = 40 mm, L3 = b = 120 mm, offset = c = -20 mm. For d= 100 mm, Ag = 150 mm/sec?, find a 2, a 3, A4, AAB for branch 1 by a) Graphical method b) Vector loop method. Then compare the obtained results.
For the 3-DOF Industrial manipulator arm as shown in Figure 3, determine the joint displacements for known position and orientation of the end of the arm point. 0. 0. Y1A Y2 A Y3 X2 X3 21 22 23 Yo xo Figure 3. 3 DOF RRR Industrial manipulator arm The link transformation matrices are given by C3 -S3 0 a3C3 S3 C3 1 C2 -S2 0 a,C2 C1 S1 -S1 -C1 d1 S2 C2 2T3 %3D T2 1 1 1 1 1 S1 C\C2a3+C1a2 C1C2C3 – C1S2S3 -C¡C2S3 – C1S2S3 S,C2C3 – S1S2S3 -SĄC2S3 – S1 S2C3 -C1 SịC2a3+ Sja2 Szaz + d1 1 OT3 = = °T, 'T2 ?T3 S½C3 + C2S3 - S2S3 + C2C3
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.
1. Given a four-bar linkage with the link lengths L1 = d = 100 mm, L2 = a = 40 mm, L3 = b = 120 mm, L4 =c= 80 mm. For 0 = 60°, m2 = 5 rad/s (CCW), RCA=110 mm and 83 = 30°, find 03, 04, VĄ, V B, V c for open circuit by a) Graphical method b) Instant center method c) Vector loop method. Then compare the obtained results.
1-draw velocity vectors showing the motion of points Band C.2-Label The IC of Velcoity, If it does not exsist mention why 3- What type of motion is each link experiencing at this instant? Rotation about afixed axis, Pure Translation, or General Planar motion? and why (justify your answer )
Consider the 2-position design problem depicted below. The mechanism is GRCR. The linklengths and the positions of anchor points O1 and O2 are provided.a. Do any toggle positions exist between configurations CD and C’D’ that would prevent themechanism from completing the motion? If so, at what angle(s) of θ do they occur?b. Find new values for the coordinates (X,Y) of O2 that would enable the mechanism to bedriven by a driver dyad attached to link O1C, e.g., point B.c. What are the coordinates (X,Y) of O2 closest to the origin for which the mechanism canstill be driven by a driver dyad attached to link O1C, e.g., point B, as in part b?
2. Given a fourbar crank-slider linkage with the link lengths L2 = a = 40 mm, L3 = b = 120 mm, offset =c = -20 mm. For 2 = 60°, w2 = 5 rad/s, a2= 5 rad/sec², find a 3, A4, ABA, AB, for open circuit by a) Graphical method b) Vector loop method. Then compare the obtained results.
theta 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
Given: AB = 0.1 m , CB = 0.4 m, CD = 0.6 m, AD = 0.8 m For the linkage shown below, CD moves back and forth spinning flywheel AB, link CD is the input link. a.) Find the maximum angle in degrees, that is the angle between the extreme positions by the link CD when the circle AB rotates 360 degrees? b.) Why is the wheel able to rotate fully and not get locked up when CD and AB are inline (collinear)? Where's a real life example where this mechanism may be used?
Problem 3: The RPH robot of Figure 3 is shown in its zero position. Determine the end- effector zero position configuration M, and the screw axes S; in {s}. n. F -inta. Sorowo- Zs {s} Xs L₁ ŷs Lo 0₁5 L2 02 {b} zb 103 pitch h = 0.1 m/rad Ấb ŷb L3 Figure 3: An RPH open chain shown at its zero position. All arrows along/about the joint axes are drawn in the positive direction (i.e., in the direction of increasing joint value). The pitch of the screw joint is 0.1 m/rad, i.e., it advances linearly by 0.1 m for every radian rotated. The link lengths are Lo = 4, L₁= 3, L2= 2, and L3= 1 (figure not drawn to scale).