1. An object suspended from a spring is oscillating up and down. It started this periodic motion when it was pulled down by 16cm from its rest position of 80cm above the floor and released. It returned to its rest position after 0.5 seconds and then continued upwards reaching its maximum height. a) Model this motion with a graph. b) Model its motion with the equation.

Christina the maid is standing on the Vanderbilt’s dining room table dusting the chandelier.  While Christina is reaching up, she slips and grabs hold of the chandelier to catch her balance.  When she lets go, the chandelier begins to swing with a period of 1.6s.  How long is the cable connecting the chandelier to the ceiling?  (0.65m)

2. Construct a problem where a mass is sitting on top of a spring inside an elevator; both are suspended by a rope and are uniformly accelerating upwards with magnitude 4 meters per second squared. Specify all the masses in the problem, as well as all the forces acting in the problem, and their relative directions.

Three springs with force constants k1 = 10.0 N/m, k2 = 12.5 N/m, and k3 = 15.0 N/m are connected in parallel to a mass of 0.500 kg. The mass is then pulled to the right and released. Find the period of the motion.  a.)0.515 s       b.) 0.041 s     c.) 0.413 s       d.) 0.726 s