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# 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 \$ \$ \$ P P P P P 2 2 2 ½ x x x y y y z z z for average: C = A + B Y C = A + B C = A + B C = A + B P P P Kinematics: 0 0 0 0x x 0 0y y Constant a : r = r + v ) t + ½ a ( ) t) x = x +v ) t+½a ( ) t) y = y +v ) t+½a ( ) t) P P P P P 2 2 2 0 x 0x x y 0y y v = v + a ) t v = v + a ) t v = v + a ) t P P P 0 0 x 0x x 0 y 0y y 0 r = r + ½( v + v ) ) t v = v +2a (x ! x ) v = v + 2a (y ! y ) P P P P 2 2 2 2 x x y y ab ba Newton’s Laws: 3 F = m a 3 F = ma 3 F = ma F = ! F P P P P grav E Earth’s gravity: F = (mg, down) = ! mg ^ j (if y-axis is up) g / | g | = g = 9.8 m/s P P 2 s s N k k N Friction: F # : F F = : 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 x y y z z Dot product: A C B = A B cos 2 = AB = A B + A B + A B P P s(tretch direction) Spring: F = ! ks where s

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

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