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**Unformatted text preview: **of the spring combination, and , 2 1 F F F = = and so , , 2 2 1 1 k F x k F x-= ∆-= ∆ and -= +-= ∆ F k k x 1 1 2 1 F k k k k 2 1 2 1 + and . 2 1 2 1 eff κ κ κ κ κ + = d) The result of part (c) shows that when a spring is cut in half, the effective spring constant doubles, and so the frequency increases by a factor of . 2...

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