Table of contentsObjectiveIntroductionMethodDiscussionConclusionObjective1. Show how the vertical oscillation time depends on the load2. To determine the spring constant3. To determine the effective mass of the springIntroductionLet k be the force constant of the spring, that is, the force required to produce a unit extension. Consider the spring in equilibrium under a load m. If, now, the spring is pulled even further downward by an additional distance x, the additional restoring force involved is, by Hooke's law, equal to kx. When the spring is released, the equation of motion is therefore: “Say no to plagiarism. Get a tailor-made essay on “Why violent video games should not be banned”?Get the original essaykx= -mxWhere x represents the acceleration towards the equilibrium position?= -Hence the motion is harmonic simple and the periodic time T isppThus, the graph of T2 versus the line. At first glance, it would seem that this line should pass through the origin, whereas the actual line obtained in the experiment does not. This is because the effective mass (mo) of the spring has been neglected and the above equation must be written. Spiral spring, brackets and clamps, slotted weights and hanger, stopwatch. Method 1. The spring is suspended from a firm support and is loaded, by means of split masses, fixed to the free lower end, until it is possible to measure the time taken by the suspended load to perform 20 full vertical oscillations.2. The timing is repeated twice to obtain the average time of the oscillations.3. The 50 g load is increased and repeated for 20 oscillations.4. Continue until times for five different loads have been taken.5. The reading is recorded and the result is compiled in the table below. Plot a graph with the values ​​of T²/s² on the y-axis against the corresponding values ​​of m/kgSlope from which l can be calculated. Since when T=0, the magnitude of m0 is equal to being the negative intercept OC on the load axis of the graphDiscussionThe definition of the spring constant is characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement caused by it. The value of spring constant that we can obtain from the calculation above is k = 24. The definition of effective mass is a quantity used to simplify band structures by constructing an analogy to the behavior of a particle free with this mass. The value of the effective mass can be determined from a graph where the x-intercept is equal to the value of the effective mass. The value of the effective mass of the spring that we get from the graph is in kg. Keep in mind: this is just a sample. Get a personalized article from our expert writers now. Get a custom essay Conclusion The value of the spring constant, k = 24. The value of the effective mass of the spring, kg.