Question

Question 1 34 points As shown in the below figure the link AB has a constant angular velocity ) = 34 rad/s. Find out the: (a) The angular velocities of the rod BD. (7 pts.) (b) The angular velocities of the rod DE. (7pts.) (c) The angular accelerations of the rod BD. (10 pts.) (d) The angular accelerations of the rod DE. (10 pts.) 75 mm D B 425 mm 300 mm 300 mm 425 mm 200 mm

Please use the following formula sheet:

Answer 1

The angular velocities and angular accelerations are calculated using the given formulas above.

(a) The angular velocity of the rod BD ($\omega$BD) = 45.33 rad/sec

(b) The angular velocity of the rod DE ($\omega$DE) = 16 rad/sec

(c) The angular acceleration of the rod BD ($\alpha$BD) = 1520.925 rad/sec2

(d) The angular acceleration of the rod DE ($\alpha$DE) = 1982.268 rad/sec2

Givey WAB 34 Maafsee writing vector forms ß 굿 0.2? + 0.3 Men 30-3 î + o. 0.075 A de -0.425 DE +0.425 We how that, WART TBA = 34 h + (0.27 +0.39) - 10.2 î + 6.8 > ܟ Jo Cox Top - Jest was R + (0.31 +0.0758) (10.2-0.075 Woo) ↑ + (6.8+ 0.3 wao ĵ or 2 - Jole - woe trole Jo = (-0.425 wool -0.425 W pe ) karating both the equation ① 2@, we we get

-0.075 W BO - 0.425 WDR 10.2 0.3 WBO - 0.425 WOE - 6.8. 6 solving, we get BD- us.333 rad/ge DE -16 radoc BO 45.33 rad/sec (clock wire) (dock wire) 16 rad/sec u. Agular velocity of line Aguler velocity of lit de - Ave Anti-cled win to win clockwire 45-33 B -vez Byrds > 16 Angular acceleration: we know that za wa Rach To & Fast -(34) (0-2 1 + 0.35 -23 1:27 – 346 8 9 wege - 0 (021 40-39 110

2 a = a + XBOX F/ 10/B Bp = (231.2 ? - 34687) + Root (0.21 +0.075) - (45.33) ² (0.37 +0.075 0.075 2 - (-231.2- 616-333-0.075 ano] ît (-346-8-154.133 + 0-3® Alo, &- ade Roke DE 2-40Couns î = o-u2734 x OE (-0.423 + 0.48 o 2- (108.8 – 0.423% of] 1 + (-1888 – 0.425 *DE] î Eauasting Equation ③ & A - -2312 - 616:533 -0.075 280 = 108.8 -0.495 X DE - 0.075 x + BD 0.425 X DE 956.5332 2 -346.8 – 154.133 + 0.30BD = – 108.8 -0.425 XE 0.30 BD to.425 XE 392 133

soling Ecation ③ & & , we get مرا 0.3 & BD +0.925 XDE = 392.133 0.07S XBO ours & DE 956.5332 "BD - 1520.925 red/sec2 DE- 1982- 268 rad/see? BD = 1520.925 (clockwire) Angular acceleattle of lint Angular acceleration of lint DE = 1982.268 (anti-clock wil)