ABSTRACT

Based on result, we can see that the graph is directly proportional. This shows that both variables on the graph are linearly related with each other. From the experiment, which to determine the spring constant (k), the experimental value and theoretical value is almost same. It been shown that the experimental value is 1.6 N/mm and theoretical is 1.71 N/mm with percentage error of 6.437%. The result told us that the value of extension will be increase if the amount of the load is increase. In findings the frequency, we have got the answer with some difference between the theoretical and experimental value. The relation between frequencies with mass can be seen because weight of the mass can change the value of frequency. The large amount of load applied to the spring will reduce the value of frequencies in vibration. During data collection, we encountered some errors. This is maybe due to random error. As a conclusion, we managed to obtain the spring constant, (k) value for the spring tested. We also managed to find the spring oscillations natural frequency, (f). By plotting the graphs, we also succeeded in finding the relationship between the displacement, (x) and the generated force of spring, (F). Through the graph, we also able to figure out the relations between the mass load of the spring, m and the oscillation periodic time, (T). The objective is determined.

DISCUSSION (NAZRUL)

Based on the experiment of Natural frequency of spring mass system without damping, the objective which is to determine the spring constant,k and the natural frequency,f is determined. Hookes law state that the restoring force of spring is directly proportional to a small displacement. If there is no external force applied on the system, the system will experience free vibration. Besides that, if there is no resistance or damping in the system, the oscillatory motion will continue forever with constant amplitude. While natural frequency depends only on the system mass and the spring stiffness.For this experiment, the theoretical value of spring constant,k is 1.71N/mm. there is no mass added for the first test but it is consider as 1.25kg instead of 0kg for the carriage load. Then, the mass is added 2kg more until it reach the fifth load. As the mass of the load increase, the force acting on the spring also increases. Thus, the spring elongation is increase. Based on the tabulate data, the graph was plotted. It can be observe that, the gradient of the graph as a experimental spring constant,k. from the graph, the experimental spring constant,k is 1.6N/mm which is almost same as the theoretical spring constant,k value. Thus the calculation was made that carried to 6.437% of percentage error. The value was too small, so it can be ignore.To determine the natural frequency, the spring combine with the mass were allow to vibrate until it stop to plot its sinusoidal graph. The length of 3 complete oscillation of sinusoidal graph were recorded then divided with velocity of the mechanical recorder to determine the time for 3 complete oscillations occur. Then its need to divide by 3 to get 1 oscillation because the experimental natural frequency,f is obtained by 1 oscillation. The natural frequency for each mass is absolutely difference. The mass of the load can affect lengths of the period of the spring to vibrate. The value for theoretical natural frequency can be calculated by using formula. After calculation were made, it show that the percentage error is higher so that it cant be ignore and must be consider. During conduct this experiment some error was occurs. This cause of disturbance during setup the apparatus.