Derivation of pendulum?

Good Morning,

For the derivation of k for the thread pendulum we wrote down the following

For the horizontal spring pendulum my approach was Hooke's law

Ffeder=-D*s=-k*y=Frück

And then cancel out -D=-k.

Is that true?

And what is the derivation for a

What about a horizontal double-spring pendulum and a vertical spring-mass pendulum? (If it should have the same shape as in the picture above)

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atoemlein
11 months ago

it can hardly be read, but the approximation sin(x) ~ x is used here for simplification.

That's right.

Double spring: forces add up

Mass spring: other period during swinging, other rest position