IndexObjectiveIntroductionMethodDiscussionConclusionObjective1. 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, i.e. the force to produce unit extension. Consider the spring in equilibrium under a load m. If, now, the spring is pulled further downwards for a further distance x, the additional restoring force brought into play is, by Hooke's law, equal to kx. When the spring is released, the equation of motion is then Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an original essaykx= -mxWhere x represents the acceleration towards the equilibrium position?= -So the motion is simple harmonic and the periodic time T isppSo, the graph of T2 versus the straight line. At first glance it would seem that this line should pass through the origin, while the real line obtained in the experiment does not. This is because the effective mass (mo) of the spring has been neglected and the above equation should be written Coil spring, holders and clamps, spline masses and hook, stopwatch. Method1. The spring is suspended from a firm support and is loaded, using slotted masses fixed to the lower free end, until it is possible to measure the time taken by the suspended load to complete 20 complete vertical oscillations.2. The timing is repeated twice to obtain the average time of the oscillations.3. The load of 50 g is increased and repeated for 20 oscillations.4. Continue until the times for five different loads have been taken.5. The reading is recorded and the result is entered into the following table. Plot a graph with the values ​​of T²/s² as ordinates against the corresponding values ​​of m/kgSlope from which you can calculate lSince when T=0, the magnitude of m0 is equal to be the negative intercept OC on the load axis of the graphDiscussionThe definition of spring constant is characteristic of a spring which is defined as the ratio between the force acting on the spring and the displacement caused by it. The value of the spring constant that we can obtain from the above calculation is k=24. The definition of effective mass is a quantity that is used to simplify band structures by building an analogy to the behavior of a free particle with that mass. The value of the effective mass can be determined by plotting a graph where the x-intercept equals the value of the effective mass. The value of the effective mass of the spring that we get from the graph is kg. Please note: this is just an example. Get a custom paper 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.