The lengths of various links of a mechanism, as shown in Figure 2, are: OA = 0.3 m; AB = 1 m; CD 0.8 m; and AC = CB. A upuu 45° Figure 2: Slider cranck mechanism Draw the displacemt diagram to a scale.
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- The lengths of various links of a mechanism, as shown in Figure 2, are: OA = 0.3 m; AB = 1 m; CD = 0.8 m; and AC = CB. A 45° В Figure 2: Slider cranck mechanism Draw the displacemt diagram to a scale.Figure below shows a four-bar linkage (non-scaled diagram) at an instant. The input angle is equal to the output angle (02 - 04) and the transmission angle is 30°. The input link is extended beyond joint B and an input force (Fin) is applied at the end of it, while an output force is drawn from the midpoint of the output link. If an output force of 30 N is desired from an input force of 10 N, how far the input link should be extended, i.e., what is the distance from point B to the point where Fin is applied. Fin B out undefined 02 04 A. Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mm= 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) R4
- Qestion-1: A slider-crank mechanism is shown in figure below. Position vectors for various linkages are drawn as shown in figure. Length of the rotating Link-1 (L1) is continuously changing due to the slider placed on it. Link-3 is fixed and aligned along y-axis. Note: All angles are measured anti-clockwise from x-axis and Link-1 is rotating with uniform velocity Take: L2 = 20mm, 02 =45°, L3= 30mm, o=10rad/sec, V2= 1000mm/s. a) Formulate the vector loop, position, velocity and acceleration equations b) Solve to find 01, L1, linear velocity of slider and angular acceleration of link-1. c) Identify if the mechanism can be declared as spatial or planar mechanism also identify total number of full and half joints.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 = 04-03Slide 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.
- Figure Q2-2 shows a schematic of a retractable landing gear of aircraft. The retraction mechanism is a 4 bar linkage (O1ABO2), which is actuated by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link O,A. Hydraulic cylinder & piston D Joint for landing gear wheel Figure Q2-2 Use the Gruebler's equation of DoF (Degrees of Freedom) of a linkage mechanism to assess if the landing gear produces the required retraction motion. 0,02 may be considered as the ground link. i) Hint: The joint of the wheel is not part of the linkage mechanism. The number of DoF may be used to check if it is a linkage with certain motions or a fixed structure. ii) The dimensions of the 4 bar linkage (O1ABO2) are measured as O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400 mm. Use Grashof condition to determine the specific type of this linkage. You may find the Gruebler's equation useful: M = 3(L – 1) – 2J where, M is degree of freedom (DoF) L is number of links J is number of jointsProblem 4-6a The link lengths (a, b, c, d) and the value of 2 for a crank-rocker linkage are defined as 2, 7, 9, 6, 30°, respectively. Draw the scaled linkage. Find all possible solutions (both open and crossed) for angles 03 and 04 graphically. Орen B A LNCS 4 a GCS र 4 4" Crossed (This is not the scaled kinematic diagram.) Problem 4-7a Repeat Problem 4-6a except solve by the vector loop method.Given a slider-crank linkage with link lengths of L = 35.0 mm, L = 48.0 mm, L = 185 mm, 6) = 270, and O =0. Also, Lat= 150 mm, Lp = 72.0 mm, and o = 50.6 counter clockwise. For the current position of 8 = 135 , the angle e and the length La are -21.9 and 137.7 mm as shown in Figure Q3. !! Determine the location of coupler point, P, relative to the origin at bearing A. 2/4 440-270 Figure Q3
- Is there a two extreme position on this diagram? This diagram makes complete revolution. Also, what type of four-bar linkages this is. Measurements Fixed bar: 5 Red: 10 Green: 15 Blue: 20A general pinjointed fourbar linkage is shown in the figure below. It has the followings The link lengths are L1 = 8.50 in., L2 = 3.00 in., L3 = 5.00 in. and L4 = 4.50 in. The values of 0, = 0, 02 = 60°, and 04 = 119°. The angular velocity of link2 w2 = 10 rad/s CCW. L4 L2 02= 60° @2 B. Ao O = 0° Figure 5.32 Problems 5.3 and 5.4 The angular velocities of link 3 w3 and and link 4 w4 are: Select one: O a. w3 5.29rad/s CW, w4 = 6.14 rad/s CW O b. w3 = 3.94 rad/s CCW, w4 = 4.8 rad/s CCW O c. W3 5.29 rad/s CW, w4 = 4.80 rad/s CCW O d. w3 = 3.94 rad/s CCW, W4 = 6.14 rad/s CCWQ1: For a four-bar linkage. If a=5.5m, b=6m, c=8m and d=D10m. 1: Find the minimum of the transmission angle in degrees 2: Find the maximum of the transmission angle in degrees 3: Find 0, at the toggle positions in degrees bola