Question

5. Give an example of a real-world system that looks nothing like a mass on a spring but still behaves like a harmonic oscillator. The weirder the better!

can you please explain the example as well

Answer 1

When we connect a charged capacitor to a coil, behaviour of this system is analogous to that of simple harmonic oscillator.

Potential difference across the capacitor will be

Where,

q = Charge on the capacitor at a particular instance

C = Capacitance of the capacitor

And potential difference across the coil would be

Where,

L = Self Inductance of coil

I = Current flowing through coil

Now according to Kirchhoff's Voltage law(i. e. algebraic sum of all voltages around a closed loop in a circuit is always equal to zero).

....... (1)

Since current is the rate of flow of electric charge

And

Putting these values in (1) we get

This equation is similar to equation of simple harmonic oscillation.

Here,