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Using the general equation for x(t) given in the problem introduction, express the initial position of the block in terms of C,S,and omega . To understand the application of the general harmonic equation to the kinematics of a spring oscillator. One end of a spring with spring constant is attached to the wall. The other end is attached to a block of mass . The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be . The length of the relaxed spring is . (Intro 1 figure) The block is slowly pulled from its equilibrium position to some position along the x axis. At time , the block is released with zero initial velocity. The goal is to determine the position of the block as a function of time in terms of and . It is known that a general solution for the displacement from equilibrium of a harmonic oscillator is , where , , and are constants. (Intro 2 figure) Your task, therefore, is to determine the values of and in terms of and .
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