Formulae_Mech_page1

Formulae_Mech_page1 - Mechanics - Basic Physical Concepts...

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Unformatted text preview: Mechanics - Basic Physical Concepts Math: Circle: 2 r , r 2 ; Sphere: 4 r 2 , (4 / 3) r 3 Quadratic Eq.: ax 2 + bx + c = 0, x = b b 2 4 ac 2 a Cartesian and polar coordinates: x = r cos , y = r sin , r 2 = x 2 + y 2 , tan = y x Trigonometry: cos cos + sin sin = cos( - ) sin + sin = 2 sin + 2 cos 2 cos + cos = 2 cos + 2 cos 2 sin2 = 2 sin cos , cos2 = cos 2 - sin 2 1- cos = 2 sin 2 2 , 1 + cos = 2 cos 2 2 Vector algebra: vector A = ( A x ,A y ) = A x + A y Resultant: vector R = vector A + vector B = ( A x + B x ,A y + B y ) Dot: vector A vector B = AB cos = A x B x + A y B y + A z B z Cross product: = k , k = , k = vector C = vector A vector B = vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle k A x A y A z B x B y B z vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle C = AB sin =...
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This note was uploaded on 03/29/2010 for the course PHY 303 taught by Professor James during the Spring '10 term at New Mexico.

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