. Consider the problem of a sliding pendulum drawn in Figure 8.43, where a mass slides along a rod which is assumed to be uniform and thin. Use (a) Newton’s second law and (b) Lagrange’s equation to...

. Consider the problem of a sliding pendulum drawn in Figure 8.43, where a mass slides along a rod which is assumed to be uniform and thin. Use (a) Newton’s second law and (b) Lagrange’s equation to derive the equations of motion. Can the governing equations be linearized? Under what conditions? What happens when r = l