Elastic springs If ckreal is what we have looked at beforeIf ckimaginary this is the new situationjk We then have would increase with position An with exponential shape Is complex because of surf ID: 265097
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ng, this time without a viscous medium but with spring anchorssimilar to a vibrating beam sitting on an elastic Elastic springs: If ckreal: is what we have looked at beforeIf ckimaginary: this is the new situationjk We then have: would increase with position An with exponential shape Is complex because of surface tension, gravity, the constraint of the ocean bed, We might expect displacements of the form yx x y)sin()(),,()cos()(),,(xykxtyAtxykxtyAtxyxy the sea depth Irrotational(no 22xxyyAANote that:Surface Neglect the gravity term, and assume kh�� 1 (true for all but the shallowest puddles)tanh kh of the ripples is 21212kkvp -shortest parent group as it propagates ficantly longer than 17mm can be ignore the surface tension term )sin()(),,()cos()(),,(xykxtyAtxykxtyAtxyxy From which we noted:For deep waves, it is reasonable to suppose that since there is no obviously preferred direction )()( Tsunami 79BC, and up to the present day there Highest recorded was 75m high in Alaska (1964) following an earthquake Highest speed to date is 490mph.Aleutian Islands 1946, waves KhaoLak, PhuketIsland, one year pre-disaster Tourist plantations , Ikonossatellite image The End potential energy gV 22xppa x radius of curvatureIn Bernoullis theorem, we have the term And this must be