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Ben H
Ben H
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The projection of the (two-dimensional) uniform circular motion of an object onto a (one-dimensional) axis is an exact mathematical analog to simple harmonic motion. Uniform circular motion is identical to rotation about an axis with constant angular velocity, $\omega$. You can see the details of this connection, e.g., in pp 2-5 of these notes.

The projection of the uniform circular motion of an object is an exact mathematical analog to simple harmonic motion. Uniform circular motion is identical to rotation about an axis with constant angular velocity, $\omega$. You can see the details of this connection, e.g., in pp 2-5 of these notes.

The projection of the (two-dimensional) uniform circular motion of an object onto a (one-dimensional) axis is an exact mathematical analog to simple harmonic motion. Uniform circular motion is identical to rotation about an axis with constant angular velocity, $\omega$. You can see the details of this connection, e.g., in pp 2-5 of these notes.

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Ben H
Ben H
  • 1.3k
  • 4
  • 11

The projection of the uniform circular motion of an object is an exact mathematical analog to simple harmonic motion. Uniform circular motion is identical to rotation about an axis with constant angular velocity, $\omega$. You can see the details of this connection, e.g., in pp 2-5 of these notes.