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AP Physics C: Mechanics
7.2 Frequency and Period of SHM
IntermediateMCQMathematicalProportional Analysis23k
A schematic diagram showing a horizontal frictionless surface represented by a solid horizontal line. On the left, a vertical wall with hatching on its outer side serves as a fixed anchor. A horizontal coil spring labeled \(k_0\) is attached to the vertical wall at its left end and to the left face of a rectangular block labeled \(M\) at its right end. The block rests on the horizontal surface. No other labels, lines, text, or axes appear.
A block of mass \(M\) attached to a horizontal spring of force constant \(k_0\).
A block of mass \(M\) is attached to a uniform ideal spring of force constant \(k_0\) and oscillates on a horizontal frictionless surface with frequency \(f_0\). The spring is then detached and cut into two identical halves. The same block of mass \(M\) is attached to one of these half-springs and set into simple harmonic motion on the same surface. What is the ratio \(\dfrac{f_{\text{new}}}{f_0}\) of the new frequency of oscillation to the original frequency?

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