B

1
A
C
B equilibrium
2
The amplitude of vibration is the distance from
the equilibrium position to its point of greatest
displacement.
The period of a vibrating object is the time
required to complete one vibration.
3
Simple harmonic motion the acceleration a of
the object is directly proportional to the
negative of its displacement d from its rest
position. That is, a -kd, k gt 0.
4
Theorem Simple Harmonic Motion
An object that moves on a coordinate axis so that
its distance d from the origin at time t is given
by either
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The frequency f of an object in simple harmonic
motion is the number of oscillations per unit of
time. Thus,
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Frequency goes up. Period(1) goes up (2) goes
down (3) stays the same
7
Suppose that the distance d (in centimeters) an
object travels in time t (in seconds) satisfies
the equation
(a) Describe the motion of the object.
Simple harmonic
(b) What is the maximum displacement from its
resting position?
8
Suppose that the distance d (in centimeters) an
object travels in time t (in seconds) satisfies
the equation
(c) What is the time required for one oscillation?
(d) What is the frequency?
9
Theorem Damped Motion
The displacement d of an oscillating object from
its at rest position at time t is given by
where b is a damping factor (damping coefficient)
and m is the mass of the oscillating object.
10
What damping factor makes for no decay? (1) -1
(2) 0 (3) 1