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Potential Energy Length hence dl-dx = (1/2) (dy/dx) 2 dx dU = (1/2) F (dy/dx) 2 dx potential energy of element dx y(x,t)= y m sin( kx- t) dy/dx= y m
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· tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
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