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#1 2024-03-02 04:34:45

nycguitarguy
Member
Registered: 2024-02-24
Posts: 549

Equation for the Path of Circle's Center

If a circle of radius 2 is made to roll along the x-axis, what is an equation for the path of the center of the circle?

Looking to get started here. Any hints?

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#2 2024-03-02 05:12:41

Bob
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Registered: 2010-06-20
Posts: 10,198

Re: Equation for the Path of Circle's Center

x may be anything but y must always be 2.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2024-03-02 18:36:06

nycguitarguy
Member
Registered: 2024-02-24
Posts: 549

Re: Equation for the Path of Circle's Center

Bob wrote:

x may be anything but y must always be 2.

Bob

If x can be any number and y does not change, then the equation for the path is a line through the point (0, 2).

I say the equation is y = 2.

Yes?

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#4 2024-03-03 03:37:40

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 167

Re: Equation for the Path of Circle's Center

Yes.

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#5 2024-03-03 16:19:49

nycguitarguy
Member
Registered: 2024-02-24
Posts: 549

Re: Equation for the Path of Circle's Center

KerimF wrote:

Yes.

Ok. Let's say the question is stated this way:

If a circle of radius 2 is made to roll along the y-axis, what is an equation for the path of the center of the circle?

In this case, the equation is x = 2. Right?

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#6 2024-03-03 22:26:07

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 167

Re: Equation for the Path of Circle's Center

Right.

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#7 2024-03-04 01:52:49

nycguitarguy
Member
Registered: 2024-02-24
Posts: 549

Re: Equation for the Path of Circle's Center

KerimF wrote:

Right.

I should pad myself on the back. Not bad someone who didn't major in mathematics.

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