A) Determine the amplitude of the oscillation. B) One end of a 60 g string is tied to the block and the other end to a pole as shown in the above figure. The string is 8.0 m long. The oscillation of the block produces a wave of wavelength 0.6 m travels in the +x direction along the sting. What is the 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 3.8 kg block is attached to a vertical
spring with spring constant 18 N/m. At one
instant, the block is at 5.4 cm above
equilibrium and has velocity 30 cm/s.
8.0 m
m
x= 0
A) Determine the amplitude of the
ocillation.
B) One end of a 60 g string is tied to the
block and the other end to a pole as shown
in the above figure. The string is 8.0 m long.
The oscillation of the block produces a
wave of wavelength 0.6 m travels in the +x
direction along the sting. What is the
tension of the string?
www](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c7a5e4d-5246-413f-b285-eca1476f994e%2Fda8ca195-e7b2-4043-85dd-dc709b591fc7%2F2m1mrp9_processed.jpeg&w=3840&q=75)
![C) At x = 0.80 m and t = 0, D(0.8,0) is a
crest. Write a complete expression (in terms
of sine function) for the displacement of the
string as a function of position x and t in SI
units.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c7a5e4d-5246-413f-b285-eca1476f994e%2Fda8ca195-e7b2-4043-85dd-dc709b591fc7%2F1j6or1c_processed.jpeg&w=3840&q=75)
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