In a ballistic pendulum an object of mass m is fired with an initial speed at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement θ as shown
Find an expression for , the initial speed of the fired object.
Express your answer in terms of some or all of the variables m, M, L, and θ and the acceleration due to gravity, g.
