Conceptual Dynamics - Independent Learning



Work done by a constant force


Only the component of a force in the direction of the displacement does work. If the force is constant, then we can simplify the general work equation to the following.


U1-2 = FΔr1-2     or     U1-2 = Fcosθ d1-2



Work done by a non-constant force


The general work equation may be applied in the individual coordinate directions.


U1-2 = ∫Fxdx + ∫Fydy


Work in the n-t coordinate system


Since motion only occurs in the t-direction, only the t-component of the force does work.


U1-2 = ∫Ftds