Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

Problem: Figure 1 shows a harmonic oscillator at four different moments, labeled A, B, C, and D. Assume that the force constant k, the mass of the block, m, and the amplitude of vibrations, A, are given. We will also assume that there are no resistive forces so the total energy of the oscillator remains constant.Find the kinetic energy of the block at the moment labeled B.

FREE Expert Solution

Angular frequency:

$\overline{){\mathbf{\omega }}{\mathbf{=}}\sqrt{\frac{\mathbf{k}}{\mathbf{m}}}}$

Spring potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{k}}{{\mathbf{x}}}^{{\mathbf{2}}}}$

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Problem Details

Figure 1 shows a harmonic oscillator at four different moments, labeled A, B, C, and D.

Assume that the force constant k, the mass of the block, m, and the amplitude of vibrations, A, are given. We will also assume that there are no resistive forces so the total energy of the oscillator remains constant.

Find the kinetic energy of the block at the moment labeled B.