Frequency of Oscillation for a Spring with Attached Block

In summary, the question asks for the frequency of oscillation of a spring with a block attached to its end. The block is pulled down and released, causing the spring to oscillate. The equation for frequency is f = \frac{\omega}{2\pi}, with \omega representing \sqrt{\frac{k}{m}}. The restoring force exerted by the spring is equal to the weight of the block, and the formula for this is F = kx = mg, where k/m = g/x.
  • #1
brunettegurl
138
0

Homework Statement



A spring is hung from the ceiling. When a block is attached to its end, it streches 19.3 cm before reaching its new equilibrim length. The block is then pulled down slightly and released. What is the frequency of the oscillation?

Homework Equations


f =[tex]\frac{\omega}{2\pi}[/tex]

[tex]\omega[/tex]= [tex]\sqrt{\frac{k}{m}}[/tex]

The Attempt at a Solution


i have no idea how to start this question and what to make of the mention of the equilibrium length pls. help
 
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  • #2
Which two opposite and equal forces act upon the mass when the spring is in its equilibrium position?
 
  • #3
the weight and the normal force but they don't mention any mass in the question
 
  • #4
You don't want to calculate the mass you want to calculate k/m. The restoring force exerted by the spring is equal to the weight. Can you write this down in formulaic form?
 
  • #5
wld it be .5*k*x^2= mg where K/m = 2g/x^2 ??
 
  • #6
That is not Hooke's law. You used the elastic potential energy as a force which is not true because it is an energy. Find the correct expression for the restoring force exerted by the spring.
 
  • #7
oh do u mean F=kx so that wld be kx=mg where k/m = g/x
 
  • #8
Yep.
 
  • #9
thanx i get it now :)
 

What is the definition of frequency of oscillation?

The frequency of oscillation refers to the number of complete cycles or vibrations of a periodic motion in a given unit of time. It is measured in Hertz (Hz) and is the inverse of the period of oscillation.

How is the frequency of oscillation calculated?

The frequency of oscillation can be calculated by dividing the number of cycles or vibrations by the time taken to complete those cycles. It can also be calculated as the reciprocal of the period of oscillation.

What factors affect the frequency of oscillation?

The frequency of oscillation is affected by the mass, stiffness, and damping of the oscillating object or system. It also depends on the amplitude of the oscillation and any external forces acting on the system.

How does the frequency of oscillation relate to the energy of the system?

The frequency of oscillation and the energy of the system are directly proportional. As the frequency increases, the energy of the system also increases. This means that a higher frequency oscillation requires more energy to sustain it.

Why is the frequency of oscillation important in everyday life?

The frequency of oscillation is important in many everyday devices and systems, such as pendulum clocks, musical instruments, electronic circuits, and power grids. It also plays a crucial role in understanding natural phenomena, such as sound waves, light waves, and earthquakes.

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