Question

0.35 m 0.25 m 3. The system shown consists of a hydraulic cylinder OB connected to an L-shaped member ABC at B. Knowing that the hydraulic cylinder elongates at a constant rate of 0.5 m/s, determine the velocity and acceleration of point A when 0 = 30°. Sketch the direction of the vectors as well, by indicating the angle that each vector forms with respect to a horizontal axis. 0.40 m P 0.40 m

Answer 1

VB: 0.5 mls. Nowe Ug = W X Roc 0.5= WBct 0.4 .: w = 1.25 sadls (Clockwise) Now, from geomety, CA= (-0.65 caso + 0.35 (1860) i +(+0.65 5930+ 0.35 5160) Ca = -0.3881 + 0.6281; - Now. Op = act dach Mae - WAC MAC 20+0 - (1.25) 1-0.3881 +0.628137 aA = 0.60625i -0.9814; vether form receberation 119l = 1.1535 mis? 7 Magnitude

Velocity of four A VAZ Tot when he Vo 70+ (-1.25 k)* [ -0.3882 + 0 10814; 7 JA = 0.785 i + 0.485 j 7 veeter form Wala v o. 785² +0.4862 Al= 0.923 mis Magnitude