Question

uestion 3: A rigid beam connects two blocks at pin joints about which there is free rotation. Block A has a downward velocity of v= 3.07 m/s. A is gaining speed at 1.26 m/s?. You may assume the motions of the two blocks are perpendicular. 3 m B 5 m At the instant shown what are the velocity and the acceleration of B with respect to the coordinate system indicated?

Answer 1

A B length is same VA GA So VA COROVA Cos (90-0) 3m VA CSO - V sho (90-0) B 5m Coso, smo from geomelay 3 Sino 5 ABVB Coses or 3²+52 39752 Given V = 3.07 m/s 3 Vo 5 3.07 m/s √9+25 9+25 VB 10842 m/s Also, A Coro A B Sino 1.26 m/s2 Given AA 2. 1.26 X 9 x 5 | 32+25 132752 0.756 m/s Thos tore, Vo = 1.842 m/s 06 = 0.756 m/s