Respuesta :
When the particles of a medium move with simple harmonic motion, this means the wave is a sinusoidal wave.
Know that a sinusoidal curve can describe either sine or cosine functions (remember your cofunction identities for sine and cosine).
Know that a sinusoidal curve can describe either sine or cosine functions (remember your cofunction identities for sine and cosine).
If the particle is under the Simple Harmonic Motion, the wave is considered to be sinusoidal wave.
Explanation:
A body is considered to be performing the Simple Harmonic Motion if it repeats its motion in a particular path with a specific time period. The two and fro motion of the pendulum about a fixed mean position is termed as the Simple Harmonic Motion.
The motion of the simple pendulum repeats itself after a particular time period and it continuously retraces its path during the motion. Therefore, it is termed as the simple harmonic motion.
The wave depicting the motion of a body performing the simple harmonic motion is shown in the sinusoidal manner. The motion of the body from its mean position to its extreme and then from extreme position to its mean position shows the positive cycle of the sinusoidal waveform.
The motion of the pendulum on the other side of the mean position of the pendulum represents the other half of the sinusoidal waveform.
Thus, If the particle is under the Simple Harmonic Motion, the wave is considered to be sinusoidal wave.
Learn More:
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Answer Details:
Grade: High School
Chapter: Simple Harmonic Motion
Subject: Physics
Keywords:
simple, harmonic, SHM, motion, pendulum, oscillates, mean position, extreme, repeats, time period, sinusoidal.
