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Point Mass Analysis
Point Mass Analysis
The point mass analysis equation is the time it takes for a pendulum for one completion of a rotation is 2 times pi times the square root of the mass of the pendulum over gravity. To use this equation, I had to find the mass of the pendulum and then plug in that value to find the time taken.
Inertial Analysis
Inertial Analysis
The inertial analysis is more accurate as it is able to use the knowledge of all the objects in the pendulum for example the nuts and bolts at the bottom of the pendulum to better figure out the time taken for the pendulum to complete a cycle. The formula is: the time is equal to 2 times pi times the square root of the total Inertia over the mass of the pendulum times gravity. To calculate the total inertia, the distance from the point of rotation has to be calulated times hte mass of each object. This required me to find the center point using Fusion360, finding the distance through Fusion360, and multiplying the mass of the bolts and the pendulum acrilyc itself and converting to the correct units which are meters and kilograms. This part took me the longest but was able to be the most accurate to the value I got in real life.
Two-dimensional Simulation Analysis
Two-dimensional Simulation Analysis
Working Model 2D (WM2D) was very useful in this process:
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