Transcription
Relative AccelerationLecture 13ME 231: Dynamics
Question of the DayThe acceleration of the cartis 4 ft/s2 to the right.Determine the angularacceleration of the wheel sothat point A on the top ofthe rim has a horizontalcomponent of accelerationequal to zero.ME 231: Dynamics2
Outline for Today Question of the day Relative acceleration due to rotation Interpretation of aA aB aA/B Solution of relative-acceleration eq. Answer your questions! What about next week?ME 231: Dynamics3
Recall: Relative MotionaArAr?B rA / BvAr? Ar B r A / B?v A r A r B r A / B Absolute position of B is defined in an inertialcoordinate system X-Y Attach a set of translating (non-rotating) axes x-y toparticle B and define the position of A Define position of “A relative toME 231: DynamicsB” (“A/B”) in x-y4
Relative Acceleration Due to RotationaAFrom translating (non-rotating)axes x-y attached to point B, theacceleration is a simply due tocircular motion about BaB a A/ Bv A/ Br a A/ Bv A / Ba A/ B u ur uran ur ur u r atyvA/BYxXME 231: Dynamics5
Interpretation of Relative-Acceleration Eq.TranslationalportionRotationalportiona A/ B a A/ BaBaAaB aA /B t aA /BME 231: Dynamicsa A/ Bntn ur u uraAa A/ Bta A/ BaBn6
Outline for Today Question of the day Relative acceleration due to rotation Interpretation of aA aB aA/B Solution of relative-acceleration eq. Answer your questions! What about next week?ME 231: Dynamics7
Solution of Relative-Acceleration Eq.: ExerciseA truck has forward acceleration a 12 ft/s2rolling without slipping its 24” tires.Determine the velocityof the truck when pointP in the positionshown will have zerohorizontalcomponent ofacceleration.ME 231: Dynamics8
Solution of Relative-Acceleration Eq.: ExerciseCalculate the angular acceleration of theplate, where OA has a constant angularvelocity ZOA 4 rad/s and T 60º for bothlinks.ME 231: Dynamics9
Solution of Relative-Acceleration Eq.: ExerciseLink OA has constant angular velocityZ 4 rad/s.Determine the angular acceleration DAB of link ABwhen OA is parallel to the horizontalaxis through B.ME 231: Dynamics10
Outline for Today Question of the day Relative acceleration due to rotation Interpretation of aA aB aA/B Solution of relative-acceleration eq. Answer your questions! What about next week?ME 231: Dynamics11
What about next week?ME 231: Dynamics12
For Next Time Continue Homework #5 due nextWednesday (9/26) Read Chapter 6, Sections 6.3 and 6.4ME 231: Dynamics13
ME 231: Dynamics The acceleration of the cart is 4 ft/s2 to the right. Determine the angular acceleration of the wheel so that point A on the top of the rim has a horizontal component of acceleration equal to zero. 3 Outline for Today Question of the day Relative acceleration due to rotation Interpretation of aA aB aA/B Solution of relative-acceleration eq. Answer your questions! What .
