Problem

Spring Oscillation: |d−x| ≤ LA weight attached to a spring hangs at rest a distance of x i...

Spring Oscillation: |dx|L

A weight attached to a spring hangs at rest a distance of x in. off the ground. If the weight is pulled down (stretched) a distance of L inches and released, the weight begins to bounce and its distance d off the ground must satisfy the indicated formula. (a) If xequals 4 ft and the spring is stretched 3 in. and released, solve the inequality to find what distances from the ground the weight will oscillate between. (b) Solve for x in terms of L and d.

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