PROB. 4-24 In the four-bar linkage shown, vA = 60 in/sec. A and B are points in the same link. (a) Find the velocity of B. (b) find the angular velocity of link 3. A 0,A=3"; AB=8" 3 2" 4 -14"- 2.

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 θ1 = 0, θ2 = 60°, and θ4 = 119°. The angular velocity of link2 ω2 = 10 rad/s CCW. The angular velocities of link 3 ω3 and and link 4 ω4 are: Select one: a. ω3 = 5.29 rad/s CW, ω4 = 4.80 rad/s CCW b. ω3 = 5.29rad/s CW, ω4 = 6.14 rad/s CW c. ω3 = 3.94 rad/s CCW, ω4 = 4.8 rad/s CCW d. ω3 = 3.94 rad/s CCW, ω4 = 6.14 rad/s CCW

For the system displayed in the figure below, the lengths of rigid-body OA and AB are l₁ = 6 m, 1₂ = 4 m. For the configuration shown, 0 = 65°, y = 68⁰, h = 1.5 m; the small roller B has velocity v = 5.5 m/s and acceleration a = 5.8 m/s² at its center. C and D are respectively the midpoint of rigid-body OA and AB. Determine the velocity and acceleration of C perceived by an observer who is at D and rotating with AB. Ꮎ C 1₁ 12 D BO P a V

Unlike the common V6 engine, Subaru engines contain pistons that are horizontally opposed (see Wikipedia for more info). Luckily for us, this also makes for an interesting dynamics problem! At the instant shown, the crank arm's angular velocity is waB = 2,000 rpm (rotating clockwise) and the angle 0 = 40° with respect to the horizontal. Length of bar AB is r1 = 3 in. and the length of bar BD is r2 = 8 in. a) Clearly define coordinate systems for each link and write transformation arrays for each. b) Compute the velocity of point B in ft/s. Express your answer in rectangular coordinates. [Ans. to Check: 33.66 i– 40.11 j ft/sec] c) Determine the magnitude of the speed of the piston P in ft/s. Note: all answers should be positive since we only want to know the magnitude of the speed, not the direction (the piston can only move in the horizontal direction). [Ans. to Check: 43.6 ft/s] r2 10 B