22- May - 2017 Moment of Inertia and Frictional Torque

James Okamura
Daniel Guzman
Rodrigo Uribe

May 18, 2017
May 22, 2017

Introduction
In this lab we want to know how to determine the moment of inertia of the system and determine the frictional torque.
Procedure
We first made measurements of various portions of our apparatus. The mass was already given to us, it was labeled on to the apparatus in grams. We measured the "thickness" or height and diameter of each cylinder using an apparatus.

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With this info, we converted the mass to kilograms and the radius and height measurements to meters and we calculated the moment of inertia of this apparatus. We were able to do this by calculating the individual parts of this apparatus, which are all rods. But before we did that, we have to determine the individual masses by taking proportion into consideration. 

For the next part of this lab we wanted to determine the angular acceleration of the apparatus.We were able to do this by recording the apparatus in motion using a smart phone. Then we open it in Logger Pro under video analysis. We figured out the position by putting dots around the circumference. From there we were able to determine the Vx and Vy of the apparatus by taking the slope of the graphs in the x and y direction. We were able to get the magnitude of the velocity by applying Pythagorean theorem. Next if we divide that radius, we can get an omega vs. alpha graph and we took the slope of that. We were able to get the angular acceleration we needed and we were able to calculate the frictional torque. 

For the last part of the lab we want to determine the time it takes for a cart to travel 1 meter, that is wrapped around the apparatus by a string. We first calculate the acceleration of the system than we were able to determine the time it too using kinematics into consideration. 

Then we wanted to determine the angle of the ramp by using trignometry. 

Conclusion

In this lab, I learned that we can calculate the moment o inertia of any object and with that find torque that is called by the system and the acceleration of the object.