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Answer:Stretched rubber band with an mass</h2>
Explanation:
Simple harmonic motion requires a restoring force.
Simple harmonic motion should be periodic.
Option A:
When a rubber band is stretched,the internal forces of the rubber band pulls the band inside.So,internal forces are the restoring forces in a rubber band.
The motion is periodic as well since the the rubber band makes to an fro motion expanding ans contracting.
So,this performs SHM.
Option B:
There is no restoring force and no periodicity.
So,this is not SHM.
Option C:
There is no restoring force and no periodicity.
So,this is not SHM.
Option D:
There is periodicity but no restoring force.
So,this is not SHM.
I think it is kinetic cuz it has most of it at the top
The Gravitationa potential energy of the mass (PEG) is given by:
where
m is the mass
g is the gravitational acceleration
h is the heigth of the mass above the reference level (the ground)
In this problem,
and
, therefore the gravitational potential energy of the mass is:
The position of the particle is given by:
x(t) = t³ - 12t² + 21t - 9
Differentiate x(t) with respect to t to find the velocity x'(t):
x'(t) = 3t² - 24t + 21
Differentiate x'(t) with respect to t to find the acceleration x''(t):
x''(t) = 6t - 24
