Chapter 11, Problem 11.10P

For a four bar crank rocker linkage, L1=17mm, L2=35mm, and Lo=56mm. Find the actualrange of values of L3 and ϕ if the transmission angle is limited from 40° to 140°.

A 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 CCW

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 = 04-03

The link length and value of O2 for some four bar linkages are defined below, (fixed link =12 cm, drive link =5 cm, coupler link = 10 cm, follower link= 8 cm) 1. draw the linkage to scale and graphically find all possible solution (both open and cross) for 03 and O4, analytical . 2. If w = 2 rad /s (CCW) find the angular velocity for bar 3 and 4 3.if a= 5 rad/s² (CCW) find the normal and tangential acceleration for link 3 and 4

Problem 2 The linkage in Figure P7-5b has O,A = O2A = 0.75, AB= 1.5, and AC = 1.2 in. The effective crank angle in the position shown is 77° and angle BAC = 30°. Find a3, A4, AB,Ac for the position shown for @2 = 15 rad/sec and a2 = 10 rad/sec 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 @2 A 3 В a2 2 4 04

A mono-cylinder engine  has r = 0.3 m, l = 0.9 m, It has: crank mass m2 = 4.5 kg , crank rG2 = 0.4r, conrod mass m3 = 12 kg ,conrod rG3 = 0.3l from A, and piston m4 = 5 kg. The crank is rotating at constant speed ω =3000 rpm. The following equation is an approximation of the gas force over 180° of crank angle with Fgmax = 3000 N and β = 15º.    we need to  find the gas force, gas torque, and inertia force . Use approximate expressions in your calculation

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

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)