# A pendulum consists of a mass M hanging at the bottom end of a massless rod of length , which has a.

A pendulum consists of a mass M hanging at

the bottom end of a massless rod of length , which has a

frictionless pivot at its top end. A mass m, moving as shown in Fig. 9-42 with velocity

v, impacts M and becomes embedded. What is the smallest value of v sufficient

to cause the pendulum (with embedded mass m) to swing clear over the top of its

arc?

FIGURE 9-42