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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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Generalized Hook’s Law

ocw.metu.edu.tr

The stress-strain relationship written in matrix form, where the 6 components of stress ... Strain Displacement Equations (6) 2-D Strain Compatibility . 3-) Generalized Hook’s Law-Stress-Strain (6) Question : ... Hooke's law for isotropic continua, elastic …

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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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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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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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Module 3 Constitutive Equations

web.mit.edu

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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Thick Walled Cylinders - University of Washington

courses.washington.edu

From Hooke’s law we get: Solving for the stresses gives: () r r r r E u dr E du ε σ σ ε σ νσ θ θ θ = = − = = − 1 1 + − = + − = dr du r E u and r u dr E du r ν ν ν σ ν σ θ 1 2 1 2 Substituting into equation above yields: Which has solution : Giving the stresses as: 0 1 2 2 2 + − = r u dr du dr r d u r C u C r 2 = 1 ...

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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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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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Hooke’s Law - Illinois Wesleyan University

sun.iwu.edu

Hooke’s Law 1. Purpose: The primary purpose of the lab is to study Hooke’s Law and simple harmonic motion by studying the behavior of a mass on a spring. Your goal will be to extract a measure of the stiffness of one particular spring. 2. Theory

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