Question

Figure 8 (c) Figure 9 illustrates a four-bar linkage mechanism that is used to operate a washing system on a vegetable harvesting line. The mechanism consists of a crank OA which moves in a limited arc and an L-shaped connecting rod AB which tilts a large bucket of water DB onto the vegetables. The crank rotates with a constant angular velocity wOA = 4x rad/s. For the instant shown with the crank vertical and the angle 8 = 30° determine the following: (i) The angular velocity of the tilting bucket. (6 Marks) (ii) The angular acceleration of the tilting bucket. (8 Marks) Hint: To simplify this problem you may assume that the L-shaped link AB is equivalent to a straight link from point A on the crank to point B on the bucket. 240 mm - 360 mm 100 mm 80 mm Figure 9

Answer 1

The problem has been solved graphically for acceleration. The velocities are determined analytically.

22. 6 A DA 30 A A = (WA) • OA = (45) 80 = 320 u mula AB 3200 E = 346 6er mm Con 22.6 COR 22.6 A = u = 320 in month Y / sin 30 = WB (DB) 3200 = wo (360) WB = ber rad/a 346623) (260) 46202 C = 0 anCOA) = (41) ? 80 = 1280 17 ml? m/s2 a- () - 1138 c (From Acceleration 17600 ² mm 12 aps Diagram) a08 at (DB) x 176052 = (360) 2 = (4.88) u ² = Su² rad/ UAB VOAB