A bullet of mass m and speed v passes completely through a pendulum bob of mass M as shown in the figure below. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length L and negligible mass. What is the minimum value of v such that the bob will barely swing through a complete vertical circle? (Use any variable or symbol stated above along with the following as necessary: g.) 2MgL v = m -------M

A bullet of mass m and speed v passes completely through a pendulum bob of mass M as shown in the figure below. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length L and negligible mass. What is the minimum value of v such that the bob will barely swing through a complete vertical circle? (Use any variable or symbol stated above along with the following as necessary: g.) 2MgL v = m -------M