Resonance Frequency of a Damped Oscillator

In summary, the conversation is about finding the driving frequency for resonance in a system consisting of a 1.05 kg mass and a spring with a spring constant of 161.0 N/m. The person is asking for direction or an outline on how to approach this problem and is also seeking clarification on whether the damping force needs to be taken into consideration. They also mention a formula for the period or frequency of oscillation that may be helpful in solving the problem.
  • #1
zhenyazh
56
0
hi
i have no idea how to do it, can some one give me a direction or an outline?


A 1.05 kg mass is suspended from a spring, with a spring constant of 161.0 N/m. Find the driving frequency which would cause resonance.

all i need is to know where to start from
 
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  • #2
If this question is about the effect of damping on the resonant frequency of a mechanical system, you will need more information. In particular, the size of the damping force.
If damping isn't significant, then you just need to use the formula for the period or frequency of oscillation of a mass on a spring.
Do you know that formula?
 

FAQ: Resonance Frequency of a Damped Oscillator

What is resonance frequency?

Resonance frequency is the natural frequency at which a damped oscillator will vibrate when no external forces are applied.

How is resonance frequency calculated?

The resonance frequency of a damped oscillator can be calculated using the formula ω0=√(k/m), where ω0 is the resonance frequency, k is the spring constant, and m is the mass of the oscillator.

What factors affect the resonance frequency of a damped oscillator?

The resonance frequency of a damped oscillator is affected by the mass and stiffness of the oscillator, as well as the amount of damping present.

Why is resonance frequency important?

Resonance frequency is important because it is the frequency at which a damped oscillator will vibrate with the greatest amplitude. This can have practical applications in fields such as engineering and physics.

How does damping affect resonance frequency?

Damping, or the dissipation of energy in the oscillator, reduces the amplitude of the vibration at resonance frequency. This means that the oscillator will not vibrate as strongly at resonance frequency if there is significant damping present.

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