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Answer:
Explanation:
A Spring stretches / compresses when force is applied on them and they are governed by the Hookes Law which states that the force required to stretch or compress a spring is directly proportional to the distance it is stretched.
F is the force applied and x is the elongation of the spring
k is the spring constant.
negative sign indicates the change in direction from equilibrium position.
In the given question, we dont have force but we know that the pan is hanging. We also know from the Newton's second law of motion that
Inserting this into Hooke's Law
computing it for x,
This is the model which will tell the length of the spring against change in the mass located in the pan.
The resonant frequency of a circuit is the frequency at which the equivalent impedance of a circuit is purely real (the imaginary part is null).
Mathematically this frequency is described as
Where
L = Inductance
C = Capacitance
Our values are given as
Replacing we have,
From this relationship we can also appreciate that the resonance frequency infers the maximum related transfer in the system and that therefore given an input a maximum output is obtained.
For this particular case, the smaller the capacitance and inductance values, the higher the frequency obtained is likely to be.