Step 1:
\a)
\The displacement of the object is
The above equation is in the form of simple harmonic motion
Where is a displacement of time,
is the amplitude and period is
.
Compare above two equations ,
\.
The motion of the object is simple harmonic motion.
\b)
\The maximum displacement from its resting position is the amplitude.
\ meters.
The amplitude is meters.
Step 2:
\(c)
\The time required for one oscillation is the period.
\The period is .
d)
\Frequency is the reciprocal of the period.
\.
The frequency is oscillations per second.
Solution:
\a)
\The motion of the object is simple harmonic motion.
\b)
\The amplitude is meters.
c)
\The period is .
d)
\The frequency is oscillations per second.