That's because I thought I was allowed to measure the pendulums mass.
Don't worry I've worked it out...finally, turns out I've been overcomplicating things.
I'll just plot a graph of h^2 against h*T^2 the y intercept will be -k^2 and the gradient will be g/4pi^2.
hmmm, my only issue is that its the sqrt of K^2 + h^2 divided by gh
it also turns out that k is the radius of gyration and I have no scales to measure the pendulum's mass. I believe I need a y=mx + c where the y intercept will be determined by k, g by m, x by T and h by y.
is there any way...
I would have to make the axis √((h^2 + K^2)/gh ) but that is a good point.
However, I would still like to know how I could linearise it further. I know that a taylor approximation is needed but I don't know how to, or what a value to choose
Linearise T=2pi√(K^2 + h^2)/gh K is known constant
This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient.
The Attempt at a...
θ^3 - pθ^2 +qθ - r = 0 such that p and r do not equal zero
If the roots can be written in the form ak^-1, a, and ak for some constants a and k, show that one root is q/p and that q^3 - rp^3 = 0. Also, show that if r=q^3/p^3, show that q/p is a root and that the product...
[b]1. Homework Statement
The swinging period T(θ) for a small amplitude simple pendulum, is given by T, a constant for a constant length pendulum. If the initial angle θ is large, then the amplitude becomes large and the period needs to be corrected. The correction to the large amplitude...