Classical Dynamics of Particles and Systems · Problem 10-14

Dynamics of Rigid Bodies — Marion & Thornton

Physics — Mechanics · southerly-deflection-mineshaft

Problem

Refer to Example 10.3 and the previous problem, but drop the particle at Earth's surface down a mineshaft to a depth hh. Show that in this case there is no southerly deflection due to the variation of gravity and that the total southerly deflection is only 32h2ω2gsin⁡λcos⁡λ\frac{3}{2}\frac{h^2\omega^2}{g}\sin\lambda\cos\lambda

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