A piece of putty of mass m = 0.75 kg moves at a velocity of v = 2.5 m/s along a horizontal frictionless surface. It hits and sticks to the bottom of a rod of mass M = 2 kg and length L = 0.9 m which is held by a frictionless nail at the opposite end of the rod, as shown. a) Find the frequency of the subsequent oscillations.
b) If the putty had hit and stuck to the rod at a higher point, would the rod-putty system oscillate faster or slower?