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.
Thanks anyway.
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
Homework Statement
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.
Homework Equations
The Attempt at a...
Homework Statement
angular acceleration of line a= -2w^2 rad/s
when theta=pi/6, w= 10 rad/s
what is angular velocity when theta= pi/3?
Homework Equations
chain rule
The Attempt at a Solution
w= e^-2theta is my answer, but I know this is wrong
I know that this question is...
Homework Statement
A heavy weight is suspended by a cable and pulled to one side by a force F. How much force is required to hold the weight in equilibrium at a given distance x to one side. Tcosθ=W and Tsinθ=F. Find F/W as a power series of θ. Often in a problem like this, what we know is not...