# Lab 8.pdf - Stefan Hagens TA: Gianni Sims Lab Section #12...

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Stefan HagensTA: Gianni SimsLab Section #1210/26/2021Lab 8.1 and 8.2:Rigid-body rotation about a moving axis and Moment of Inertia8.1Purpose of experiment:By rolling down objects of different masses and sizes but of same shapes down an inclinedplane, we should be able to prove that these objects will both reach the bottom at the same time.We can assume this because the speed of a rigid body at the bottom of an incline can beexpressed by the equation below:Vcm =2gh/1+cNote that this equation is derived from the total mechanical energy of a rigid body, and byworking out the final speed (Vcm), we find that the equation does not include the mass of size ofthe objects. Therefore, we can conclude that objects of the same ‘c’ (constant which representsshape) will reach the bottom of the inclined plane at the same time.Summary of the theory:We can calculate the final speed of the objects with only knowingthe ‘c’ constant of their shape

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