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
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Homework Equations
chain rule
The Attempt at a Solution
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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...
Homework Statement
Find first three non zero terms in series expansion for ln(1+e^-z) when z is very large
Homework Equations
The Attempt at a Solution
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Homework Statement
A question asks me to find the first three non-zero terms of ln(cosx)
Homework Equations
The Attempt at a Solution
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Homework Statement
Find first three non zero terms in series expansion where the argument of funstion is small
ln(5+p)
Homework Equations
The Attempt at a Solution
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Homework Statement
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Homework Equations
The Attempt at a Solution
Can someone please give me so much as a hint?
Homework Statement
θ^3 - pθ^2 +qθ - r = 0 such that p and r do not equal zero
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[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...
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.
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Homework Statement
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