A spring with a spring constant of 1.0 N/cm is attached to a 4.0 kg mass. If you were to pull and release the mass, what would be the frequency of the system, in Hz?
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.
![Given data
- The Mass attached to the spring in m = 4₂0 kg
The spring pulls and release the mass
- The spring constant of the spring 15 K=1.0 N/m
Required
of the system
Solution
-The angular frequeng of the simple harmonic
motion is given
-What would be the frequency
حليين
-We know that
= 2n1f
21f = √k
m
f=an JK
8
K= constant of the spring
m = Mass of an attached object to the spring
W = The
angular frequency of the object
angular frequency
given
f= The frequency of the simple
harmonic motion
-2
is
1-0 N/m
f = 27₁ +₂0kg
8 = 7.96x10-
The frequency of the system is 7.96 x 102 He](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F993b8a0d-9b60-44b7-8c47-37557dab2ace%2Ff008178f-9cf1-4a75-8f07-710351983fb8%2Fjhjpu8d_processed.jpeg&w=3840&q=75)
![A spring with a spring constant of 1.0 N/cm is attached to a 4.0 kg mass. If you were
to pull and release the mass, what would be the frequency of the system, in Hz?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F993b8a0d-9b60-44b7-8c47-37557dab2ace%2Ff008178f-9cf1-4a75-8f07-710351983fb8%2F5hatcxf_processed.jpeg&w=3840&q=75)
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