# formulas - PHY 3221 Mechanics I Fall Term 2010 Formula...

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Unformatted text preview: PHY 3221: Mechanics I Fall Term 2010 Formula sheet A Â· ( B Ã— C ) = B Â· ( C Ã— A ) = C Â· ( A Ã— B ) â‰¡ ABC A Ã— ( B Ã— C ) = ( A Â· C ) B âˆ’ ( A Â· B ) C ( A Ã— B ) Â· ( C Ã— D ) = A Â· [ B Ã— ( C Ã— D )] = A Â· [( B Â· D ) C âˆ’ ( B Â· C ) D ] = ( A Â· C )( B Â· D ) âˆ’ ( A Â· D )( B Â· C ) ( A Ã— B ) Ã— ( C Ã— D ) = [( A Ã— B ) Â· D ] C âˆ’ [( A Ã— B ) Â· C ] D = ( ABD ) C âˆ’ ( ABC ) D = ( ACD ) B âˆ’ ( BCD ) A v = Ë™ r e r + r Ë™ Î¸ e Î¸ + r sin Î¸ Ë™ Ï† e Ï† a = parenleftBig Â¨ r âˆ’ r Ë™ Î¸ 2 âˆ’ r Ë™ Ï† 2 sin 2 Î¸ parenrightBig e r + parenleftBig 2Ë™ r Ë™ Î¸ + r Â¨ Î¸ âˆ’ r Ë™ Ï† 2 sin Î¸ cos Î¸ parenrightBig e Î¸ + parenleftBig 2Ë™ r Ë™ Ï† sin Î¸ + 2 r Ë™ Î¸ Ë™ Ï† cos Î¸ + r Â¨ Î¸ sin Î¸ parenrightBig e Ï† v = Ë™ r e r + r Ë™ Ï† e Ï† + Ë™ z e z a = parenleftBig Â¨ r âˆ’ r Ë™ Ï† 2 parenrightBig e r + parenleftBig r Â¨ Ï† + 2Ë™ r Ë™ Ï† parenrightBig e Ï† + Â¨ z e z summationdisplay k Îµ ijk Îµ lmk = Î´ il Î´ jm âˆ’ Î´ im Î´ jl summationdisplay j,k Îµ ijk Îµ ljk = 2 Î´ il summationdisplay...
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formulas - PHY 3221 Mechanics I Fall Term 2010 Formula...

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