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6 physics lab - Name Xiang Wang [email protected] Antonis...

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Name: - Xiang Wang [email protected] - Antonis Antoniou [email protected] - Seung Kwon Choi [email protected] Class: Physics-123 “Mechanics” TA: Ahn Paul Experiment 6 Rotational Motion” Date of the Experiment: April, 14 th 2003
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α τ I = ( 29 2 1 ϖ ϖ TUBE DISK DISK I I I + = Introduction Objective: This experiment had three parts. We first had to calculate the moment of inertia of the rail and the masses attached to it using the formulas learned in lecture. The second part of the experiment was to devise a procedure so that we can prove Newton’s second law for rotational motion. The last part of the experiment was to devise a way to measure the moment of inertia of a disk and a small cylindrical tube. Theory: Part A: The equation that describes the moment of inertia of the rail – weights system is the following: Where M 1 and M 2 are the masses of the rail and the weights respectively, L is the length of the rail and R is the distance of the center of mass of the weights from the axis of rotation. In the lab this equation was further simplified after instructions from our TA that we should consider the rail as being weightless so the first term of the equation is eliminated. Part B: The equation that describes the relationship between the moment of inertia the angular acceleration and the torque is: Where τ is the torque and it equals to the product of the force applied perpendicular to the radius of the object. I is the moment of inertia of the object and α is the angular acceleration of the object. Part C: The equation that describes the conservation of angular momentum during this part of the experiment is the following Where ω 1 is the angular velocity of the system before the collision and ω 2 is the angular speed of the system after the collision. After we have measured the moment of inertia we have to check of KE is preserved and decide if the collision is elastic or inelastic.
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