work&power - 2D Particle Kinetics Work and Power(I Work...

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2D Particle Kinetics – Work and Power (I) Work 1. Work done by a constant force in 1-D motion : unit: : displacement, : angle between c and s J o t W F s Fs F s F s φ φ = = = i G G G s G G (a) If the force and displacement have the same directions, W = F s . (b) If the force and displacement have opposite directions, W = F s . (c) Zero work: W = 0 when (i) s = 0 or (ii) F s G G . (d) W = F t s : work is produced by the component of the force along the line of motion only. 2. Work done by a varying force : cos t W F d s F ds F d φ = = = s i G G 3. Work done by a force in 2-D motion : W F cos t d s F ds F ds φ = = = G i G s is the path displacement along the curved trajectory. 4. Work done by gravity (weight) for motion from position 1 to position 2: 1 2 ( ) g W mg y y = sin g W mgs y : vertical position measured from an arbitrary reference with + y defined upward. Motion along an incline: (a) If the displacement is down the incline, θ = . (b) If the displacement is up the incline, sin g W mgs θ = − .
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