Determine the period of oscillation of the block in ProblemProblemA uniform cubical block...

Determine the period of oscillation of the block in Problem

Problem

A uniform cubical block of mass mand sides 2ais balanced on top of a rough sphere of radius b. Show that the potential energy function can be expressed as

where θ is the angle of tilt. From this, show that the equilibrium at θ = 0 is stable, or unsta­ble, depending on whether a is less than or greater than b, respectively.