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Unformatted text preview: 0. The force exerted by the spring will attempt to return the spring to its relaxed state: if x < 0: F > 0 if x > 0: F < 0 It is found experimentally that for many springs the force is proportional to x: F = - k x Figure 7.7. Relaxed, Stretched and Compressed Springs. where k is the spring constant (which is positive and independent of x). The SI units for the spring constant is N/m. The larger the spring constant, the stiffer the spring. The work done by the spring on an object attached to its end can be calculated if we know the initial position x i and final position x f of the object: If the spring is initially in its relaxed state (x i = 0) we find that the work done by the spring is Figure 7.8. Pendulum in x-y plane...
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