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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
16 Nov 2021

Given information

Given:

The amplitude of each wave?

The figure of two waves moving in SHM

 

Step-by-step explanation

Step 1.

A simple harmonic motion is performed by an object of mass m under the influence of a force of the kind . The restoring force constant is . The negative sign shows that the object's net force and acceleration are always directed toward the object's equilibrium position. A second-order differential equation describing the periodic motion of the item may be derived by substituting the force with the product of the object's mass   and acceleration  .

The periodic motion of the object's angular velocity is
 .
Since,
  is the object's oscillation period.
In terms of the angular frequency of the item in motion, a sin or cos function can be used to depict the object's periodic motion.

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