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A hamster runsaround in a stationary
wheel with radius 10cm as shown in the
picture. At a certain point (lets say
t=0),the hamster collapses from
exhaustion and begins to spin around in
the the wheel at constant angular
frequency ⍵ making one full rotation in 1
second. You watch the hamster spin from
below the wheel and from this view, the
hamster is in simple harmonic motion
and can be modeled using a sine
function. !
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a) Find a function to represent the hamsters simple harmonic motion that
includes amplitude (A), angular frequency (⍵), phase constant ( ), and
time (t).!
b) Find the equation for velocity and acceleration of the simple harmonic
motion of the hamster.!
c) Sketch a graph of each of these functions.!
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