Classical Dynamics of Particles and Systems · Problem 10-10

Dynamics of Rigid Bodies — Marion & Thornton

Physics — Mechanics · projectile-range-change-due-to-rotation

Problem

In the preceding problem, if the range of the projectile is

R_0'

for the case

\omega = 0

, show that the change of range due to the rotation of Earth is

\Delta R' = \sqrt{\frac{2R_0'^3}{g}} \cdot \omega\cos\lambda\left(\cot^{1/2}\alpha - \frac{1}{3}\tan^{3/2}\alpha\right)