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Homework 26: Before you come to lab, derive a mathematical model to find the moment of...

Homework 26: Before you come to lab, derive a mathematical model to find the moment of inertia of a billiards ball rolling down an incline using data that will be given to you in lab. The ball will be rolling down an incline of constant distance at different angles from the horizontal. You will be given the mass of the ball, the radius of the ball, the distance the ball travels down the incline, the angle from the horizontal at which the incline rests, the initial height of the ball when it is released, the final height of the ball when it is measured at the photogate, and the velocity at which the ball is traveling when it passes through the photogate. Disregard friction, air resistance, or any other outside forces for this lab. Hint: Setup your model so that the moment of inertia, I, is either the slope of your model, or is part of the slope of your model. Your model should be linear. You may use any equation(s) needed to derive the model. Show all derivations, and indicate the slope, independent variable, and dependent variable. Bring your work to lab for grading.

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