Classical Dynamics of Particles and Systems · Problem 7-2

Central-Force Motion — Marion & Thornton

Physics — Mechanics · lagrangian-equations-of-motion

Problem

Work out Example 7.6 showing all the steps, in particular those leading to Equations 7.36 and 7.41. Explain why the sign of the acceleration

a

cannot affect the frequency

\omega

. Give an argument why the signs of

a^2

and

g^2

in the solution of

\omega^2

in Equation 7.42 are the same.