Chapter 8

1 Chapter 8 Acceleration in Mechanisms10/23/2015 Mohammad Suliman Abuhaiba, , Acceleration Diagram for a Link10/23/2015 Mohammad SulimanAbuhaiba, , PE2 Example ,atacrankangleof45 Suliman Abuhaiba, , PE3 Example , ,thecrankshafthasaspeedof75rad/sandanang ularaccelerationof1200 Suliman Abuhaiba, , PE4 Example ,thesliderCismovingtotherightwithaveloci tyof1 withtheverticalandBC= Suliman Abuhaiba, , PE5 Example ;QR=175mm;RS= ;andPS= Suliman Abuhaiba, , PE6 Example , ,areasfollows:P1A=300mm;P2B=360mm;AB=360 mm,andP1P2= .ThecrankP1 Ahasanangularvelocityof10rad/sandanangul araccelerationof30rad/s2, , Suliman Abuhaiba, , PE7 Example , , ;AB=1200mm;BC=450mmandCD= , of sliding at B and velocity of acceleration of acceleration of CD10/23/2015 Mohammad Suliman Abuhaiba, , PE8 Example Suliman Abuhaiba, , PE9 Example :OA=150mm;AB=450mm;PB=240mm;BC=210mm;CD= Suliman Abuhaiba, , PE10 Example Suliman Abuhaiba, , PE11 Example , :OA=180mm;CB=240mm;AB=360mm;andBD= , Suliman Abuhaiba, , PE12 Example Suliman Abuhaiba, , PE13 Example , ,hasthedimensionsasfollows:O1A=100mm;AC= 700mm;BC=200mm;BD=150mm;O2D=200mm;O2E=40 0mm.

2 O3C= , Suliman Abuhaiba, , PE14 Example Suliman Abuhaiba, , PE15 Example :OA=150mm;AB=600mm;BC=350mm;CD=150mm;and DE= Suliman Abuhaiba, , PE16 Example Suliman Abuhaiba, , PE17 Example :OA=150mm;AB=550mm;AC=450mm;DC=500mm;BE= Suliman Abuhaiba, , PE18 Example Suliman Abuhaiba, , PE19 Example , ,areasfollows:AB=80mm;CD=40mm;BE=DE=150m m;andEP= Suliman Abuhaiba, , PE20 Example Suliman Abuhaiba, , PE21 Coriolis Acceleration 15 -22 FrameOXYisfixedandframeOxyrotateswithang ularvelocity. Absolute velocity of particle Pis OxyOXYP rrrv Mohammad SulimanAbuhaiba, , PE10/23/201515 -23 FPPOxyPvvrrv Absolute acceleration for particle Pis OxyOxyPrrrra 2 OxyPPrarra F Utilizing the conceptual point P on the slab, Absolute acceleration for particle P 222 FFFPO xyccPPOxyPPPvraaaaraaa Mohammad Suliman Abuhaiba, , PE10/23/2015 Coriolis Acceleration 15 -24 CollarPslidesatconstantrelativevelocityu alongrodOB.

3 Rodisrotatingataconstantangularvelocityw . F Absoluteaccelerationofthecollaris 0 OxyPra FuavacPc 22 F 2 rarraAA Mohammad Suliman Abuhaiba, , PE10/23/2015 Coriolis Acceleration Coriolis Component of AccelerationWhenapointononelinkissliding alonganotherrotatinglink, Suliman Abuhaiba, , PE25 Example ,determinethevelocity& ;Slottedarm,OC=700mmandlinkCD= Suliman Abuhaiba, , PE26 Example Suliman Abuhaiba, , PE27 Example , , ,inthepositionshown,whenthecrankmakesana ngleof60 SulimanAbuhaiba, , PE28 Example Suliman Abuhaiba, , PE29 Example , :OA=150mm;OC=100mm;CD=125mm;andDR= Suliman Abuhaiba, , PE30 Example Suliman Abuhaiba, , PE31 Example Suliman Abuhaiba, , PE32 Example , ,inacwdirection, Suliman Abuhaiba, , PE33 Example Suliman Abuhaiba, , PE34 Example Suliman Abuhaiba, , PE35 Example a swiveling joint mechanism, as shown in Fig.

4 , the driving crank OA is rotating cwat 100 rpm. The lengths of various links are: OA = 50 mm ; AB = 350 mm; AD = DB ; DE = EF = 250 mm and CB = 125 mm. The horizontal distance between the fixed points O and C is 300 mm and the vertical distance between F and C is 250 mm. For the given configuration, of the slider block velocity of the link of sliding of the link DE in the swivel of sliding of the link DE in the trunnion10/23/2015 Mohammad Suliman Abuhaiba, , PE36 Example Suliman Abuhaiba, , PE37 Example Suliman Abuhaiba, , PE38