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Acceleration Vector graphical analysis method Knowns:and direction of ae ag=aA+a"Ba+a'BA Mag:?√o2laB? A Dire:√√B-→A⊥BA a Select a scale ua m/s2/mm, 0 Draw p'a'from p',let a=uap'a then:ae=μapb' b aBA=μab"b' direction:b”+b' b a aBA=μab'a' Dire: a'→b For ac:ac=a+a"ca+a'cA unsolvable! Mag:?√o2ca-7 Dire:?√C→A⊥CA and:ac=as+a"ce+a'cB unsolvable! Mag:?√o2lcB Dire:?√C→B⊥CB Combine the two eqs: ac=aA+ancA+acA=ae+ance+acB ?√√? We can find: ac=μap'c'dire:p'→c3 aca=μac"c'dire:c+c acs=μac'c”dire:c→c3 1010 Vector graphical analysis method b’ B A C then:aB=μap’ b’ Select a scaleμa m/s2/mm, Draw p’a’ from p’ , let aA=μap’ a’ b” Knowns: ωand direction of aB aB=aA + an BA+ at BA at BA=μab”b’ direction: b” → b’ aBA=μab’ a’ Dire: a’ →b’ Mag: Dire: ? ⊥BA ? √ √ √ B→A ω2lAB aA aB a’ p’ Acceleration aC=aA + an CA+ at CA = aB + an CB+ at CB and: aC= aB + an CB+ at CB unsolvable! Combine the two eqs: For ac: aC=aA + an CA+ at CA unsolvable! We can find: at CA=μac”’c’ at CB=μac’c” dire:c”’ → c’ dire:c” → c’ dire:p’ → c’ ? ? √ √ ? √ √ ? √ √ √ √ √ √ B A C Mag: ? Dire: ? √ √ ω2lCA C→A ? ⊥CA Mag: ? Dire: ? √ √ ω2lCB C→B ? ⊥CB b’ b” a’ p’ c”’ c” c’ aC=μap’ c’
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