A ballistic pendulum consists of a large heavy mass, M on theend of a very light rod of length L. The rod is free to pivot atthe top and the mass is attached at the bottom, so it hangs like apendulum. A second mass, m, is fired horizontally at speed vstraight into the large mass, and they stick together. The pendulumswings to a maximum angle ?m.
a)Show that you can measure v by measuring ?m, that is obtain anexpression for v in terms of M, m, L, g and ? m.
b)Look up the mass and speed of a bullet, and figure out howmass
ive M should be if L is about 0.25 m and we want a maximumangular displacement no greater than 45?.
