Assignment:
A block attached to a spring is acted on by a spring with spring constant k and a weak frictional force of constant magnitude f. The block is pulled a distance Xo from the equilibrium and released. It oscillates many times and eventually comes to rest.
a) Show that the decrease of amplitude is the same for each cycle of oscillation.
b) Find the number of cycles of n the mass oscillates before coming to rest.
Provide complete and step by step solution for the question, use formulaes.