Theories of dynamics

Galileo dropped a lead ball of the Leaning Tower of Pisa in order to test his theories of dynamics. Show that as a consequence of the Coriolis force the path of the lead ball deviates from the vertical and it lands to the East of Galileo’s original position by a distance: x = g?^3?Esin?/3, where ? ? sqrt(2h/g) and the expression for x is correct to first order in ?E . If the latitude of Pisa is 44?N and the height of the tower is h = 50m, evaluate the easterly displacement numerically.

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