OSE[1] - Official Starting Equations (OSEs) for Engineering...

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Official Starting Equations (OSEs) for Engineering Physics I Appropriate identifying labels can be added as subscripts, including replacement of 0 and i by labels associated with initial states. Component versions of vector Official Starting Equations are also OSEs. x y z x y z Vectors: A = A i + A j + A k A = | A | = (A + A + A ) A B / A + ( ! B ) P $$ $ PP P P P 222 ½ xxx yyy zzz for average: C = A + B Y C±= ±A±+ ±B ± ± ± ± ± ±C±= PPP Kinematics: 0 0 0 0x x 0 0y y Constant a : r = r + v ) t + ½ a ( ) t) x = x +v ) t+½a ( ) y = y +v ) t+½a ( ) t) P P P 22 2 x0 xx y0 yy v = v + a ) t v = v + a ) t ) t 0 x x 0 y 0y y 0 r = r + ½( v + v ) ) t v = v +2a (x ! x ) + 2a (y ! y) P P 22 a b b a Newton’s Laws: 3 F = m a 3 F = ma 3 F = ! F P P grav E Earth’s gravity: F = (mg, down) = ! mg ^ j (if y-axis is up) g / | g | = g = 9.8 m/s 2 ss N kk N Friction: F # : FF = : F P/A P/B B/A Relative motion: P r = P r + P r P c dir v Circular motion: a = v /R dv/dt=a 2 P AB direction of A x y z Dot product: A C B = ABcos 2 = = A B + A B + A B s(tretch direction) Spring: F = ! ks where s is the stretch from the relaxed, equilibrium length ii mm Fi 6 f 6 fx F i 6 f Work: [W ] = F C d R [W ] = F (x) d F
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This note was uploaded on 06/04/2010 for the course PHYS 180 taught by Professor Farley during the Spring '10 term at University of Nevada, Las Vegas.

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OSE[1] - Official Starting Equations (OSEs) for Engineering...

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