Question

This mechanism below has a crank that revolves clockwise at O.

210 mm 55mm 30° B 1.3kg 50 rad/s

Using vector diagrams, determine:

1. The linear velocity of the piston and the angular velocity of the link AB about A.
2. The angular acceleration of the link AB about A and the inertial resistance produced by the piston.
3. Using trigonometry, confirm your results for the velocity and acceleration in parts (i) and (ii).

Answer 1

Selution Seale 3 Gm Poilion diaem wwbup 1833 C oA 55mm/a AB=210 iW/ = 7G d/'s A Бо 30 Yolecty diagam Scale $/uF=Wibop = 2.75 O 2.35 Om VAD VBA 1.7 Cm Acceddtom diage Sale = 137-5m5 diagm 2Cm on oa= 2 om = 2 Cm gb ЬВ — 1 Сm o, aB6b ВА

Calaulations vdrdity dingam 50 Yad/s t 11 mys 2.75 2750 mms (ro)(0) We knoo te dorectfons 4-YBA amd VeGi vedeity dngtom by So cam we elation VBA 1m/s vdediy dagem lga삐 ) vnletty 4piston =7 Cm amd ab =2-35Gm veledty diaftam Fom (7) (4) 7 ms> VBy Noo ab) (1m)=35)(4) = 2-35 m/s BA We kne that 2-35 2-35 (2lo mm) AB 2.35 X mm=lo?m AB 210 I-1 Yos 48 Comcude that tmk AB s wise diectton velnity Jetding abtat A m count deck Tho-e Fom Cam (Ue C.Ca

From acdaidim dragum matice that We cam atam) 1s fachng upornds ahich meams BA dock oise diteciom. Theigie, 327.38 Inotface Fmottia 68 [13)x0E) (3k)1375 N SL-811 opposite to the The dioteelionfnettia ece dojectonacceloratton - point Amaly tal methe (Apedvalus) fs uhele Y0A = 55mm VB - a=30 55 Xlo 210 55 1-7 ys 1-34 s Tad/'s 39

B (50)(A) (G (3-818) -813) 16971-41 312-4a 54.23 312-94 Ta CotC2e" /2/0 137-ms get values ohich ie dragam Velecity and acceleiafon