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Answer:
The equation of the displacement as a function of time
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple or
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time
</em>
- <em>
is amplitude </em>
- <em>
is the natural frequency of oscillation (
)</em>
- <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) =
- The natural frequency (
∴
=
∴
the equation :
<em>⇒ </em> ------1
since when
,
<em>⇒ ------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , must be negative or c must be an odd multiple of
.</u>
<em>⇒ ------3</em>
where k is also an integer ;
the least value of ;
thus ,
the equation is :
<em></em>