Question

Rod AB is undergoing general plane motion. Determine the magnitude of the acceleration at point B in m/s^2.

Please answer to four significant figures.

Thank you! :)

Rod AB is undergoing general plane motion. m Determine the magnitude of the acceleration at point B in y 6 m/s2 X w = 3 rad/s α A B 2 m 60°

Answer 1

Answer: Given : في : gدیا 3rad/ses Acceleration analysis: acceleration of Rod AB (i) OAB: ар - ав 10 CAB(n) ---li OAB + QARCH Одеса) normal component Fangential component TWABX IW ABX TAB WAR --29 (by right hand thumb rule) -3 CAB (position of A with respect to B) qeyx . TAB - +2 1 2m A B Ca(n) : [-3k x (-3 x 210] [-3 x - 3 - angen) - --- (ii) 181 QABCH RAB X TAB -xê x 2 -20 OSB(+)

QABS-18î-2 -189-2x Î ---() ae an an ag î (since it will move along x-direction (RV) daS (60° : - QACOS60° - QASIN 60°jî QACO S60 - 6X0.5 - 3* - 5.1962 - (VI) 60 a substitute (iv), v Ę(« in cq lil -18î - 2x 9 . -39 -5.1962 - ART -189-ga î = (-3-QB) - 5.1962 By comparing conefficients 19 6 1 0 - -18 = -9(3+aB? -20: -5.1962 ! AB . 15 m/sec? K: 9.5981 rad /sce3 clock were in five X-dverection