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.
Based on the images attached...
How long does it take the amplitude to decrease to one-quarter of its initial value? in seconds
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either end of the track. Both springs have the same
spring constant, k, and the glider has mass M. (
Figure 1)
Figure
k
M
1 of 1
Y = 6.08×10-2 S
It is observed that after 55 oscillations, the amplitude of the oscillation has dropped to one-half of its
initial value. Estimate the value of y, using x(t) = A et cos w't.
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-1
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Constants
PPearson
enodic Table
Correct
Correct answer is shown. Your answer .060 s¹ was either rounded differently or used a
different number of significant figures than required for this part.
Important: If you use this answer in later parts, use the full unrounded value in your
calculations.
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either end of the track. Both springs have the same
spring constant, k, and the glider has mass M. (
Figure 1)
Figure
k
M
k
1 of 1
Part A
Determine the frequency of the oscillation, assuming no damping, if k = 115 N/m and M = 250 g
f = 4.83 Hz
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Constants Periodic Table
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Correct
Correct answer is shown. Your answer 4.8 Hz was either rounded differently or used a
different number of significant figures than required for this part.
Important: If you use this answer in later parts, use the full unrounded value in your
calculations."
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