E203_Moment of Intertia

E203_Moment of - Abstract Moment of inertia also called mass moment of inertia is a measure of an object's resistance to changes to its rotation It

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Abstract Moment of inertia, also called mass moment of inertia, is a measure of an object's resistance to changes to its rotation. It describes the difficulty encountered in bringing the body to angular rotation about a specified axis of rotation. When an object rotates about an axis it exhibits moment of inertia, the moment of inertia differs with the axis of rotation and the size and mass of the body being rotated. In the experiment the moment of inertia of a disk and a ring is measured. The experiment also compared the moment of inertia of the disk at two different axes. Introduction Moment of inertia measures the rotational inertia of a rigid body. It is the quantity telling how difficult it is to rotate a given body. Moment of inertia can be expressed in two forms, the scalar or the tensor. The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. Therefore, it encompasses not just how much mass the object has overall, but how far each bit of mass is from the axis. The farther out the object's mass is, the more rotational inertia the object has, and the more force is required to change its rotation rate. In determining for the index of refraction of materials, calculations were done using the law of refraction (also known as Snell’s Law): = n1sinθ1 n2sinθ2 ; where n is the index of refraction of the material, and   θ is the angle of incidence. The subscripts 1 and 2 denote the first and second material respectively. The formula was obtained from the textbook; University Physics by Young and Freedman. In determining for the critical angle of the total internal reflection, Snell’s law was also used, only this time the angle of incidence for the second medium was taken to be 90° because for TIR, should the incident light reflect within the second material, the angle of reflection with respect to the incident light would be 90°. From there, the angle of incidence with respect to the normal line could be obtained. For the experimental value, however, an application of trigonometry was used, where the point at which the total internal reflection was obtained, and the distance from the corner of the glass plate to the point, as well as distance of the point parallel to the point of reflection. From here, the tangent function was used, giving the critical angle θ c = tan -1 (o/a); where o is the opposite side of the critical angle, and a is the adjacent side of the critical angle. Methodology

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This note was uploaded on 05/29/2011 for the course PHYS 11L taught by Professor Deleon during the Spring '11 term at Mapúa Institute of Technology.

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E203_Moment of - Abstract Moment of inertia also called mass moment of inertia is a measure of an object's resistance to changes to its rotation It

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