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Elasticity of Materials

Elasticity of Materials: In this lecture Processor Lewin introduces elasticity and Young’s modulus. The fractional length deformation of a material (the strain) depends on the force per unit area (the stress). The stress vs. strain dependence is described conceptually, then explored empirically. The speed of sound in a material depends on the stiffness and density of the material; from this follows the fundamental frequency at which a rod resonates. Professor Lewin cocludes with a demo in which a 2kg block is suspended from one string, and an identical string is suspended from the block. Professor Lewin pulls on the lower string. Which string will break first, the upper one or the lower one? The lower string will break first if the force is impulsive (a quick jerk) because it will elongate faster than the upper string. If we pull slowly the upper string will break first as its tension will then always exceed that of the lower string.