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Hooke’s Law
T = kx
tension equation
T = λx / l
if a particle is having in equilibrium…
the tension will be equal to the weight of the particle
how to use Hooke’s law in dynamic problems
find the value of F, the resultant force, and then equate this to ma
maximum speed is when
acceleration is 0
elastic energy, or work done to stretch a spring
λx² / 2l (only applies when within the elastic limit of the spring)
conservation of energy for springs and strings
(driving force •distance) + initial KE + initial GPE + initial EPE = (friction •distance) + final KE + final GPE + final EPE