In this lab, we try to find the period of oscillation for a semi-circle and a triangle pivoted in multiple positions.
This is a semi-circle pivoted in the middle of the straight line.
This is a triangle pivoted at one of its three edges
These show what our set up looked like.
This is our calculations to find the center of mass which is at (4/3)*pi*r^3
Here we have solved for the moment of inertia of the semi-circle.
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The top picture shows the calculations for our period, which was 0.603s and for the curved side it was 0.59s
Using logger pro, the period was .5994 and .59991 for the curved side.
Our percent error is less than one percent.
We found the moment of inertia of the semi-circle as 1/24MB^2+1/2MH^2 and has a period of .77 seconds, shown in the top image.
We found the moment of inertia for the triangle as MB^2/24+1/6MH^2. The period for the triangle is 0.74 seconds, as noted in the bottom picture.
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