Hookes law and epe worksheet suppose in the lab one group found that n f. Silver hookes law take g 10 ms2 and use f kx dont forget weight force mass x g 1. In position a the spring is at rest and no external force acts on the block. This worksheet provides clear instruction with a comfortable format. Let a force is applied on a body which can modify the shape and size of the object. Due to the restoring force, simple harmonic motion is caused in a straight line in which the acceleration and the restoring force are. The mass has m 1 kg, while the spring has k 100 kgs 2. The spring is compressed and a suction cup on the bunny holds it to the base so that the bunny doesnt move. Inference the extension of the spring will depend on the mass attached aim to investigate the relationship between. Hookes law grades 1112 free printable tests and worksheets. Hookes law, spring constant, limit of elasticity, elastic hyste. Consider hookes law as a simple proportionality where f is directly proportional to delta x. What is the spring constant of a car spring if a 2500n force compresses it from a length of 50.
What is the elastic force a spring will exert if it has k 175nm and is stretched 30cm. To measure the spring constant of a spring using two different methods. School liverpool john moores university course title uh 2145. In the diagram below is shown a block attached to a spring. Silverhookes law take g 10 ms2and use f kx dont forget weightforce mass x g 1.
Introduction, restoring force, spring constant, practice problems. In addition to the hooke s law, complex stresses can be determined using the theory of elasticity. Physics hookes law lab free related pdf s october 14th, 2015. Research briefly online the difference between an ideal spring and a nonideal spring. A mass is suspended from a spring at equilibrium in an elevator moving down at 1 ms. Hooke s law is a phenomenological expression of how a solid responds to an applied stress. Only two stress components remain, and hookes law 4. The generalized hooke s law for general anisotropic elastic materials can be given in matrix form as shown. In order to adhere to the form of hookes law as stated by equation 4, plot the displacement x on the horizontal axis x axis and the applied force on the vertical axis y axis. Pdf students generally approach topics in physiology as a series of unrelated phenomena that share few underlying principles. F force newton k spring constant newtonmeter x the change in length meter.
You can do the exercises online or download the worksheet as pdf. The validity of hookes law is determined for two helical. Hookes law problems and solutions solved problems in. Hookes law, examples with solutions physics problems with. Hooke s law is a law of physics that states that the force f needed to extend or compress a spring by some distance x scales linearly with respect to that distancethat is, f s kx, where k is a constant factor characteristic of the spring i. Inference the extension of the spring will depend on the mass attached aim to investigate the relationship between force f and extension x of a helical spring. Guidelines for a physics lab reports baylor university. Hookes law sample problems with solutions 1 solution. Physics 0204 tension, hooke s law, drag, and equilibrium name. What force is necessary to stretch an ideal spring whose force constant is 120. The primary purpose of the lab is to study hookes law and simple harmonic motion by studying the behavior of a mass on a spring.
Hooke s law in the diagram below is shown a block attached to a spring. The solution to this differential equation is given in standard physics textbooks. Generalized hookes law the generalized hookes law for a material is given as. Hookes law relates the stretching force and extension produced. Dec 15, 2017 to understand the hookes law its mandatory to understand 2 terms. It states that for a helical spring or any other elastic material, extension is directly proportional to the stretching force,provided elastic limit is not exceeded i. Lawrence university a formal lab report should include a title page like this one, with all of the appropriate. In position b a force f is used to compress the spring by a length equal to. When a spring is stretched by an applied force, a restoring force is produced. Hookes law displaying top 8 worksheets found for hookes law. Hooke s law is a law which states that the force, f, required to bend a spring or some other elastic object is directly proportional to the distance x by some constant k, known as the stiffness constant in this case, f is equal to the force with which the spring pushes back. Your goal will be to extract a measure of the stiffness of one particular spring.
Hookes law utk department of physics and astronomy. Open or add a new excel worksheet and prepare it to record your new data by. This gives only the magnitude of the force of the spring and ignores the direction. This physics video tutorial provides a basic introduction into hookes law. Hookes law 1 problem statement what is the relationship between the extension of a spring and the mass attached to it. As discussed in the previous lecture, it is important not to lose sight that the material element is a threedimensional body and we have only been considering a twodimensional view of it. A spring requires 20 n of force to compress it by 3 cm.
Ideal as a homework, this activity explores hookes law through an investigation complete with results. If hooke s law holds for the spring and the data fits a straight line, then the motion of masses vibrating up and down on the spring should be simple harmonic motion. Hookes law problems and solutions solved problems in basic. Hookes law problems ideal springs for all questions assume that the positive x direction is to the right. Hookes law is a law that says the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed.
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. Generalized hooke an overview sciencedirect topics. Hookes law physics, basic introduction, restoring force. Practice finding the spring force using hooke s law. Stress, strain and hookes law lesson teachengineering. Hookes law holds up to a maximum stress called the proportional limit. What force is needed to stretch a spring with a constant k value of 200 nm so it has an extension of 0. The cognitive law expressed by equation 4 is formally identical to hookes law of elasticity. Some of the worksheets for this concept are hookes law, hookes law and a simple spring, x m 25, elastic forces and hookes law, teacher notes hookes law program robert hooke 1635 1703, tension equilibrium, x m, ap04 physics jacob. Graphically determine the amount of energy stored while stretching the spring described above from x. How far will a spring with rest length 82cm and spring constant 0. In position c, a force f is used to stretch the spring by a length. A spring is stretched from its resting position a distance of 0. Next attach the support table for the masses to the spring.
In simple terms, hookes law says that stress is directly proportional to strain. The red line in this graph illustrates how force, f, varies with position according to hookes law. Equation, substitute values, solution with label watch your labels 1. Here f is the restoring force or the force exerted by the spring on the external agent and k is a. In physics, as well as other sciences, every measurement comes with some sort of hooke s law relates the force exerted on a spring in relation to a small. A graph of force f versus elongation x shown in the figure below. For each of the problems below, draw a diagram of the situation before answering the question. Through the lessons twopart associated activity, students 1 explore hooke s law by experimentally determining an unknown spring constant, and then 2 apply what theyve learned to create. Generalized hooke s law the generalized hooke s law can be used to predict the deformations caused in a given material by an arbitrary combination of stresses.
Theory measuring the stretching produced by different loads, added to the spring, tests the elasticity of a spring. The pictures of spring states at the bottom of the graph correspond to some points. Problems with solutions and explanations on the applications of hookes law. By integrating with respect to x, we can find the work needed to compress or stretch a spring a given distance and. Or equivalently, consider the potential energy, vx 12kx2. E is the youngs modulus n is the poisson ratio the generalized hooke s law also reveals that strain can exist. Hookean materials are broadly defined and include springs as well as muscular layers of the heart. Participants also estimated the total imagined elongation of springs joined either in series or in parallel. Mar 12, 2018 hookes law is a law that says the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. It some engineering texts, the maximum shear stress determined by viewing the. If hooke s law, fa kx, holds for the spring, the data points should lie along a straight line.
This physics video tutorial provides a basic introduction into hooke s law which states that the restoring force exerted by a spring is directly proportional. Our present interest is in whether or not the data will fit on a linear trend line. If youre seeing this message, it means were having trouble loading external resources on our website. How far must a spring spring constant 35nm be pulled in order to exert a force of 63n. Fke, where k is the constant of proportionality called spring constant. X exclude words from your search put in front of a word you want to leave out. In order to get a deeper understanding of the influence of pressure, temperature etc. Theory the shape of a body will distort when a force is applied to it. Hookes law example problem worked example problems. Hookes law is a law of elasticity discovered in 1660 by the 17thcentury british physicist, robert hooke.
This lecture is a must hooke s law springs simple harmonic motion pendulums great demos. Calculating spring constant online worksheet for 9. Therefore, we know the force stretching a spring is directly proportional to the distance the spring stretches. Still, in its general form, hooke s law is compatible with newtons laws of static equilibrium. A body of mass m is suspended from a spring with spring constant k in configuration a and the spring is stretched. Hookes law objective to test hookes law by measuring the spring constants of di erent springs and spring systems to test whether all elastic objects obey hookes law equipment two nearly identical springs, long rubber band, support stand with a meter stick, 50g mass hanger, set of masses. First they learn the governing equations, then they work through several example problems, first individually, then as a class. Where, f is the amount of force applied in n, x is the displacement in the spring in m, k is the spring constant or force constant. How much force would it take to stretch a steel bar with a spring constant of 21. Hookes 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 youngs modulus. Hooke s law states that if the distortion of an elastic body is not too large, the force tending to restore the body to equilibrium is proportional to the displacement of the body from equilibrium. The only nonvanishing stress component is a constant tension or pull pdf aalong x, so that the complete symmetric stress tensor becomes. See our guide on how to change browser print settings to customize headers and footers before printing. What happens if you stretch or compress a spring too much.
The law of elasticity hookes law center for the advancement of. A rubber band which obeys hookes law has a spring constant of 5 nm and is stretched so that 89 j of energy is stored in it. If youre behind a web filter, please make sure that the domains. Materials for which hookes law is a useful approximation are known as linearelastic or hookean materials. The dotted line shows what the actual experimental plot of force might look like. Measure the position of the end of the spring after the table has been attached. Hooke s law is only a firstorder linear approximation to the real response of springs and other elastic bodies to applied forces. Hookes law physics, basic introduction, restoring force, spring. Objective the objective of this lab is to show that the response of a spring when an external agent changes its equilibrium length by x can be described by hookes law, f. The linear relationship between stress and strain applies for where. Hookes law formula can be applied to determine the force constant, displacement, and.
Hooke s law determine the initial mass, m 0, by weighing the support table. Strain gages bonded to the specimen measure the following strains in the longitudinal x and. The slope of this line corresponds to the spring constant k. This topic is beyond this text, but through the use of compatibility and equilibrium equations, complex 3d stresses can be determined by numerical methods. Based on the principle of hooke s law, as viscoelasticity and size of the graft change so too will the stiffness and, hence, the amount force required to restore ap stability and biomechanics.
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