what is the relationship between force and extension of a spring?
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The spring constant is different for different elastic objects. For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles. This works until the limit of proportionality is exceeded.
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Newton's 2nd Law: It states that the acceleration of a body is directly proportional to the external force experienced by that body. F is directly proportional to the acceleration of the body. F=ka. where K is the constant of proportionality which is actually the mass of the body so the equation now becomes.
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Axial tension force is stress imposed on a body that tends to cause it to become longer. Tensile stress may be likened to stretching, or lengthening, and is the opposite of compressive stress, or shortening.
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As discussed above, the spring force varies in magnitude and in direction. Its magnitude can be found using Hooke's law. Its direction is always opposite the direction of stretch and towards the equilibrium position.
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You can use a device called a force meter to measure the size of a force. Most force meters have a hook that you can use to hang or pull on something. This will cause a spring to move and show you how much force is being applied. We measure forces using a unit called Newtons.
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Measuring forces Forces can be measured using a force meter, also called a newton meter. Force meters contain a spring connected to a metal hook. The spring stretches when a force is applied to the hook.
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The relationship between mass and acceleration is that the the force applied is equal to the product of both mass and the acceleration attained.
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This force is given by Newton's second law. At the same time, the force on the weight will be due to gravitational acceleration minus the tension force in the string connecting the falling weight to the glider. This tension force is the mass of the weight times the acceleration of the glider.
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Tension (physics) ... These forces due to tension are also called "passive forces". There are two basic possibilities for systems of objects held by strings: either acceleration is zero and the system is therefore in equilibrium, or there is acceleration, and therefore a net force is present in the system.
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In a spring system, the conservation equation is written as: 12mv2+12kx2=constant=12kX2 1 2 mv 2 + 1 2 kx 2 = c o n s t a n t = 1 2 kX 2 , where X is the maximum displacement.
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The tension on an object is equal to the mass of the object x gravitational force plus/minus the mass x acceleration.
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Force is mass times acceleration, or F= m x a. This means an object with a larger mass needs a stronger force to be moved along at the same acceleration as an object with a small mass. This is Newton's Second Law of Motion.
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As a formula, it reworks Hooke's Law and is expressed through the equation: k = – F/x. Where k is the spring constant, F is the force applied over x, and x is the displacement by the spring expressed in N/m.
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The strain is directly proportional to the bending moment. As the value of the bending moment increases, the value of the strain also increases.
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['Mathematically, F∝x, where F is the force applied, and x is the extension or compression of the object (usually in metres).', 'Now, F = – kx, where k is the constant of proportionality called the spring constant.']
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In science, a force is a push or a pull. All forces have two properties: direction and magnitude. A newton (N) is the unit used to describe the magnitude, or size, of a force.
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Consider a beam subject to bending and transverse shear. At some distance along the x direction further consider a short length δx. Over this length the bending moment increases by dM and the shear force increases by dF.