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simple harmonic motion
motion that is repeated because displacement and restoring force are proportional
stiff spring has
greater k value
Fs and X have
force on block= 0
restoring force/magnitude the greatest
What causes the oscillation
Elastic potential energy transform into kinetic energy, then transform back to potential energy
more work, more potental energy
1/2 kA^2= 1/2 mv^2
amount of time it takes to complete a cycle
# of cycles that can be completed. Hz
Simple harmonic motion is independent of
amplitude. because F is proportional to x
vertical motion oscillator
gravity causes the block to move downward
(-mass x initial velocity) / time
d (distance how far it stretched)=
greatest magnitude in restoring force/acceleration
KE goes up
pass through equil position,
2 pi radical (L/G)
frequency and period
don't depend on amplitude/mass
Spring Restoring Force
The force that causes a disturbed system to tend back towards its equilibrium position.
example of a saturated fat with single carbon bonds
Relaxed length of a spring?
The length of the spring in its equilibrium position. The length it wants to be.
more force must be applied.
To cause a larger displacement of a spring _______
What does the spring constant k tell us about the properties of the spring?
A larger k means it's more stiff and therefore more force is needed to move it.
x = L - L₀
What is x in the Hooke's Law?
Oscillation means to move back and forth.
Oscillation means? What is another name for it? This time of motion is?
The resting position an oscillating object wants to assume.
An influence that causes an oscillating object to lose energy and eventually come to a rest on its own.
In the case of a pendulum or spring the amplitude is?
The maximum distance the object is displaced from its resting position.
Time for one revolution
Find angular frequency
Frequency from spring-block oscillator
Period from spring-block oscillator
x(t)=Asin(wt + ∅₀)
Position of sinusoidal simple harmonic motion
Velocity of sinusoidal simple harmonic motion
Acceleration of sinusoidal SHM
v = wA
Maximum velocity and acceleration
(mass) x (g) x (height)
a running dog
Total Mechanical Energy
ag = 8π²L/3T²
Acceleration of gravity for pendulum
Period for simple pendulum