PHYS 1003 Lecture Notes - Lecture 8: Antiderivative, Integral
26 Dec 2017
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Work done is area under graph but since line is horizontal, area is of triangle. Spring: the internal forces from a spring depend on the extension/compression of spring. Hooke"s law: if spring is compressed/stretched, internal spring force tries moving it back to. The internal force is proportional to the displacement from equilibrium -> fint = - k r. Fapplied = + k r -> fapplied is equal/opposite to fint so - cancel (asks for applied force required) equilibrium/unstretched length. Spring constant/constant of proportionality is k (n/m) (k , stiffness , less. Since force is not constant, cannot use scalar product equation, need to use integrals. Consider work done for a very small displacement, where f is considered constant over than small distance. Work done by spring force: deformed) o o. Integrals (area under a function of f. r): o. Definite integral has limits specified and indefinite integral has no specified limits.
