Exploring Oscillating Systems The goal of this worksheet is to see if our predictions about the behavior of a mass oscillating on the end of a spring match what is observed for a real system. You will develop some theoretical predictions so that later we can compare the predictions to what was actually measured when a system like this was set up and tested during a physics 120 lab. These actual data results come later in the worksheet. For now, just do the theory. Understanding the Mass on a Spring System. Figure 1: Mass on a Spring, At Rest An ideal massless and frictionless spring is assumed have no mass and no friction, and /__\\ j the force obeys the following equation: /'\\ F = kx (1) dky Z 0 here i .. J Where k is the spring constant measured in _ N/m, and y is the extension of the spring from +3] dlr' b d its rest length. When a mass of value M is [gag/gain placed on the end of the spring, at its new rest equilibrium rest position, the spring is stretched a distance yo from its rest length. ......._p Stretched 1. Draw a free body diagram and then apply Newton's First Law. Solve this equation to nd the value of yo in terms of M, k and g. FBD: 3'0