A 300 g block is attached to a vertical spring. One end of a 60 g, L = 1.20 m long string is tied to the block and the other end is fixed to a pole as shown. When the spring starts to oscillate with amplitude 0.150 m, the spring mass system has a total mechanical energy of 4.79 J. [Answer in 3 significant figures] Equilibrium m position a) system. 1.20 m √x=0 Determine the angular frequency of the oscillation of the spring mass b) When the spring is oscillating, the string is observed to form a standing wave with two antinodes. Draw the standing wave pattern of the string. What is the tension of the string? If you want the string to vibrate in the next higher harmonic, what should be the new tension of the string?
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.
![A 300 g block is attached to a vertical spring. One end of a 60 g, L = 1.20 m
long string is tied to the block and the other end is fixed to a pole as shown.
When the spring starts to oscillate with amplitude 0.150 m, the spring mass
system has a total mechanical energy of 4.79 J. [Answer in 3 significant
figures]
Equilibrium m
position
a)
system.
1.20 m
√x=0
Determine the angular frequency of the oscillation of the spring mass
b)
When the spring is oscillating, the string is observed to form a
standing wave with two antinodes. Draw the standing wave pattern of the
string.
What is the tension of the string?
If you want the string to vibrate in the next higher harmonic, what
should be the new tension of the string?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09e6020e-a4ff-40b4-802c-56b8399f32b7%2Fd572f078-ded0-41f8-9e91-dcd1bffc321c%2F4ayeo3o_processed.png&w=3840&q=75)
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