![]() The moment of inertia of a body is affected by the shape of the body. The experiment was successful since all the aims of the experiment were met. The period is more when the small end acts as a fulcrum. This is because the distances between these two points and the center of mass of the rod vary. The values obtained show that the period that is obtained when the small end of the connecting rod is supported on the knife edge are higher than those obtained when the big end of the connecting rod is supported by the knife edge. When the big end of the connecting rod is supported on the knife edge, the values of the period are: When the small end of the connecting rod is supported on the knife edge, the values of the period are: The period of the pendulum which is the time taken to complete one oscillation can be calculated from these values. The tabulated average values in the tables above represent the time taken by the pendulum to complete ten oscillations. Therefore for an angular velocity of ω the period of the compound pendulum, T that has a constant k is given by (Ciufolini & Wheeler, 1995, p. Torque = Momentum of inertia X angular acceleration Small end of connecting rod supported on the knife edge The displacement was then made to be 20 o and the average time to complete ten oscillations was determined. It was then displaced by an angle of 10 o and the average time for ten oscillations determined. The rod was then suspended on the big edge on the knife edge. Three values of time taken to complete ten oscillations were recorded and the average value found. Once the average value for a 10 o displacement was calculated, the connecting rod was displaced to an angle of 20 o. The average time was then calculated from these three values to ensure that the errors in the measurements are averaged. The displacement was done three times and each time the time taken by the connecting rod to complete ten oscillations was recorded. A stop watch was then used to measure the time the connecting rod took to complete ten oscillations. It was then given a displacement of 10 o in the vertical plane and released to oscillate freely. The small end of the connecting rod was then used to suspend the rod on a knife edge. The distance between the centre of gravity and the small end, h 1, and that between the big end and the centre of gravity, h 2, were then measured and their values recorded. ![]() The distance between the small end and the big end of the connecting rod was measured and labeled l. The centre of gravity of the connecting rod was then determined and this point was labeled CG. The mass of the connecting rod was weighed using a weighing balance and the value that was obtained was recorded. The equation is determined for small oscillations. The equation for the moment of inertia of the connecting rod about its centre of mass as a function of the period of oscillations measured is also determined from the data that is collected from the experiment. This is investigated using the compound pendulum method. The aim of this experiment is to find the moment of inertia of a connecting rod from its vibrations.
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