MechanicsAP200Meriam, J.L., Kraige, L.G., Engineering Mechanics,Dynamics", John WileyCourse Work 30% (Exercises and tests)Examination 70%Download materialsJumpto firstpage
Jump to first page 1 Mechanics AP200 Meriam, J.L., Kraige, L.G., “Engineering Mechanics, Dynamics”, John Wiley Course Work 30% (Exercises and tests) Examination 70% Download materials
Chapter 1 VectorA vector has a length A and a direction (unit vector)AA =AeeV2Jump to first page
Jump to first page 2 Chapter 1 Vector A vector has a length A and a direction (unit vector) A A e ˆ A = A A e ˆ
2D Cartesian coordinate system(one form of presentation)A= Aéa = Ax + Ay = A(cosα×+sin α )A=A = Ax? + A,? Pythagoras theoremYXHOOL1WReednnestP0WandS2ChicagoMicaiganAW28thStαXAxW31stS1NXVTECPaE2003Jumpto firstpage
Jump to first page 3 2D Cartesian coordinate system (one form of presentation) 2 2 ˆ x ˆ y ˆ (cos xˆ sin ˆ) x y A A A A A A Ae A x A y A y = = + = = + = + x y A AY AX Pythagoras theorem
3-D Cartesian coordinate systemA=AéA = Axx+A+ A-2=Acosα+ Acosβ +Acos2<eQA2Note: A?+ A,? + A?= A? -Jumpto firstpage
Jump to first page 4 3-D Cartesian coordinate system cos ˆ cos ˆ cos ˆ ˆ ˆ ˆ ˆ A x A y A z A AeA Ax x Ay y Az z = + + = = + + Ax Ay Az A A 2 2 2 2 2 Note : + + = = z A x e ˆ y Ay Ax Az
Addition of vectorsBA=A x+AyBA+BB=B,x+ByB.AA+B=(A+B)x+(A+B)yXOSubtraction of vectorsA- B =(Ax -Bx)x+(Ay -By)yByBAyA= BxA-BX0AxJumpto firstpage
Jump to first page Addition of vectors y x BY Bx B A AY AX A B + O ( )xˆ ( ) yˆ xˆ yˆ xˆ yˆ x x y y x y x y A B A B A B B B B A A A + = + + + = + = + Subtraction of vectors A- B = (Ax − Bx )x ˆ + (Ay − By ) y ˆ y x BY − Bx − B − A B − AY AX A O