What is simple harmonic oscillation? Select all that apply. Simple harmonic oscillation only occurs for a mas-on-a-spring system. Simple harmonic oscillation occurs for objects which experience a position (x) dependent force (F) of the form F = -Cx, where C' is some positive constant. Simple harmonic oscillation occurs for objects whose motion can be defined by a sine or cosine curve.x(t) = xo cos(wt), for example Simple harmonic oscillation occurs when an object regularly returns to an equilibrium position.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![What is simple harmonic oscillation? Select all that apply.
Simple harmonic oscillation only occurs for a mas-on-a-spring system.
Simple harmonic oscillation occurs for objects which experience a position (x) dependent force (F) of the form F = -Ca, where is some positive constant.
= xo cos(wt), for example
=
Simple harmonic oscillation occurs for objects whose motion can be defined by a sine or cosine curve. x
.x(t)
Simple harmonic oscillation occurs when an object regularly returns to an equilibrium position.
Information for questions 2, 3, and 4.
You have an oscillating spring with a spring constant of k = 0.69 N/m. The mass on
the end of the spring is m = 0.34 kg. You may assume the spring is massless.
Questions 2, 3, and 4 ask you to show the position, velocity, and acceleration vs
time graphs for this spring. Sketching out these graphs by hand may be helpful.
ille
Frestoring = kx
mg
Free Body Diagram for a Hanging Mass
Which of the following graphs most closely matches the displacement vs. time
plot for this oscillating spring? Reference part 2.4 on p. 6 for help.
O
O
O
M
Displacement (m)
0.25
Displacement (m)
0.2
Displacement (m)
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
V
time (s)
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
0
time (s)
0
time (s)
time (s)
10
10
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc4366b1-066b-4145-b91a-ae2dfb142529%2Fe1ed7903-e828-47df-8bf3-a9dffbd8563d%2F198u3ha_processed.png&w=3840&q=75)
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