Hello everyone,

Question

I have made measurements of the periods of a pendulum attached to a stationary point at a certain height h. When plotting the periods as a function of the square root of the length minus the height it gives us a straight line. I now need to prove that this line minus 1/2*Huygens' law (2π*sqrt(l/g)) equals π*sqrt((l-h)/(g)).

My problem is that I can't find out how I should prove this mathematically. Does anyone here know a solution or do you think that I just have to test it for the measurement data?

Thanks in advance to everyone who spends a second thinking about it!

Answer 1

I don't understand what you are trying to prove.
Huygen's law does not belong in the middle of an equation.

Answer 2

I should indeed have formulated this a lot clearer. I have done an experiment in which I add a stationary point to the standard pendulum situation, which creates a period function dependent on both the length of the pendulum as on the height of the stationary point which limits the pendulum from achieving it's full potential period (the period it would have without the stationary point). Now this function minus 1/2*the potential period (thus Huygens' law) equals π*sqrt((l-h)/(g)). This is stated in the assignment, and I have to prove it.