Lychee628
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If T= 2pi sqrt((h^2+k^2)/gh), how can i rearrange it to get y=mx+c
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Kallisto
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(Original post by Ayaz789)
If T= 2pi sqrt((h^2+k^2)/gh), how can i rearrange it to get y=mx+c
y = mx + c refers to the proportionality (maybe you have recognized that?). So everything what you have to do is to rearrange your equation T= 2pi sqrt((h^2+k^2)/gh) to get the proportionality of simple harmonic motion.
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Lychee628
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(Original post by Kallisto)
y = mx + c refers to the proportionality (maybe you have recognized that?). So everything what you have to do is to rearrange your equation T= 2pi sqrt((h^2+k^2)/gh) to get the proportionality of simple harmonic motion.
Thanks for the help but whats the x component? We square both sides first then?
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Joinedup
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(Original post by Ayaz789)
Thanks for the help but whats the x component? We square both sides first then?
presume this is for a uniform rod type compound pendulum...


I definitely would
have a think about what's constant and what's going to be variable?

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Kallisto
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(Original post by Ayaz789)
Thanks for the help but whats the x component? We square both sides first then?
When it is asked for proportionality, the graph is linear. in y = mx + c, x is the variable which increase the left side of the equation, so y. m stands for the slope and c is the y-intercept. All what you need is to rearrange the equation that this linear property of proportionality comes out. To square on both sides is the beginning.
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Lychee628
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(Original post by Kallisto)
When it is asked for proportionality, the graph is linear. in y = mx + c, x is the variable which increase the left side of the equation, so y. m stands for the slope and c is the y-intercept. All what you need is to rearrange the equation that this linear property of proportionality comes out. To square on both sides is the beginning.
So i get T^2=4pi^2((h^2+k^2)/gh)
Then what do i do
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Kallisto
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(Original post by Ayaz789)
So i get T^2=4pi^2((h^2+k^2)/gh)
Then what do i do
Go further. Those are my steps:

T² = 4pi²(h² + k²)/gh (to summarize)
= 4pi²h² + 4pi²k²/gh
= 4pi²h + 4pi²k²/g (to factorize)
= 4pi²(h + k²)/g

For g = constant, the formular and the graph of it should be linear after y = mx + c.
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