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Hooke S Law

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Module 3 Constitutive Equations

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Concept Question 3.1.1. Derivation of Hooke’s law. Derive the Hooke’s law from quadratic strain energy function Starting from the quadratic strain energy function and the de nition for the stress components given in the notes, 1.derive the Generalized Hooke’s law ˙ ij = C ijkl kl. Solution: We start by computing: @ ij @ kl = ik jl

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forces & Newton’s laws of motion - Old Dominion University

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! springs & Hooke’s law an empirical, approximate law. physics 111N 53 a spring balance! we can use Hooke’s law to build a device to measure weight calibration for this spring every centimeter of extension means 12 N of weight . physics 111N 54 a spring balance

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Forces r,}}l [ oÁ

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1 (a) (i) On Fig. 3.1, draw a graph of extension against load for a spring which obeys Hooke’s law. [1] extension 0 0 load Fig. 3.1 (ii)State the word used to describe the energy stored in a spring that has been stretched or

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Oscillations - Harvard University

scholar.harvard.edu

a Hooke’s-law potential is! = p k=m. So for a general potential V(x), the k · V00(x0) equivalence implies that the frequency is! = r V00(x0) m: (3) 1.1.2 Solving for x(t) The long way The usual goal in a physics setup is to solve for x(t). There are (at least) two ways to do this for the force F(x) = ¡kx. The straightforward but messy way ...

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Guidelines for a Physics Lab Reports - Baylor University

www.baylor.edu

Oct 21, 2005 · Hooke’s Law Experiment Objective: To measure the spring constant of a spring using two different methods. Background: If a weight, W = mg, is hung from one end of an ordinary spring, causing it to stretch a distance x, then an equal and opposite force, F, is created in the spring which opposes the pull of the weight. If W is not so large as to permanently distort …

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Chapter 3

www.mit.edu

For our Hooke’s law example earlier, the slope is the spring constant2. 2Since the spring constant k is de ned as F= kx (where is the force and x is the stretch), the slope in Figure3.1ais actually the inverse of the spring constant. 2. Statistics for Research Projects Chapter 3

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Hooke’s law in terms of stress and strain is

www.phys.ufl.edu

Hooke’s law in terms of stress and strain is stress strain In terms of the definitions L L Y A F The constant of proportionality is called the elastic modulus or Young’s modulus. If has the same units as stress. Y is a property of the material used. Hooke’s law holds up to a maximum stress called the proportional limit.

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The Properties of Materials - Princeton University

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1) The law of inertia: An object in motion will remain in motion unless acted upon by a net force. The inertia of an object is its reluctancetochangeitsmotion. 2) The law of acceleration: The acceleration of a body is equal to the force applied to it divided by its mass, as summarized in the equation F = ma, (1.1)

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