ch15-p023 - 23. Let the spring constants be k1 and k2. When...

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to return the block to its equilibrium position ( x = 0). Since the acceleration a = d 2 x / d 2 , Newton’s second law yields =. 2 2 12 m dx dt kx kx −− Substituting x = x m cos( ω t + φ ) and simplifying, we find = + 2 kk m where is in radians per unit time. Since there are 2 π radians in a cycle, and frequency f measures cycles per second, we obtain = 2 = 1 2 f m ππ + . The single springs each acting alone would produce simple harmonic motions of
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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