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1、FinalExamJuly2012PartI3rdJuly,2012Dipl.-Ing.AndreasJ.Horbach©FHAACHENUNIVERSITYOFAPPLIEDSCIENCES
2、FACHBEREICHELEKTROTECHNIKUNDINFORMATIONSTECHNIK
3、WWW.FH-AACHEN.DEContentof1sttrimesterMotioninonedimensionMotioninaplaneNewton’sLawofmotionWorkandEnergyLinearmomentumandcollisionsRotationalmo
4、tionStaticequilibrium©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
5、2Contentof1sttrimesterMotioninonedimensionThetennisballAtennisballisdroppedfromabout1mandbouncesalmostelasticallytwotimesbeforeitiscaught.Sketchgraphsofitsposition,velocity,andaccelerationasfunctionsoftime,consideringth
6、eupwarddirectionaspositive.Hint:Beforestartingwiththesolution,determinethethreeequationsforlinearmotion©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
7、3Contentof1sttrimesterMotioninaplaneAflyingrocketArocketinitiallyhascoordinatesx=500mandy=0mandmoves00withconstantvelocity0.8m/salongastr
8、aightlinealwaysat60°tothehorizontalplane.Writethetrajectoryequationy(x)forthemotionoftherocket.©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
9、4Contentof1sttrimesterNewton’sLawofmotionThespringconstantAbodyofmassMispulledwithconstantvelocityvalonganinclinethroughaspringwithconstantforceF
10、,sothattheelongationofthespringisΔl.Thekineticfrictionbetweenthebodyandtheinclineisµandkthemaximalstaticfrictioncoefficientisµ.sFindthespringconstantofthespring.©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
11、5Contentof1sttrimesterNewton’sLawofmotionStaticequilibriumTwobodieshavingmasses
12、40kgand10kgareattachedtotherightandtotheleftendsofacylinder,respectively.Themassofthecylinderis10kganditslengthis0.4m.Atwhichpointmustthecylinderbesupportedsothatthissystemwillbeinequilibrium?©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
13、6Contentof1sttrimesterNewton’sLawofmotionTwopull
14、eysTwopulleysandthreebodies:m,mandmareconnectedas123shownintheFigure.Findaccelerationofthebodymifallbodies’massesare3knownandallropesandpulleyshavenomass.©FHAACHENUNIVERSITYOFAPPLIEDSCIENCESJuli4,2012
15、7Contentof1sttrimesterWorkandEnergyTheballisticpendulumAriflehavingmassM=3kgh
