Kinematics

I don't understand what it means by radius of curvature at pt of projection and how to calculate it
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17 Replies
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@Gyro Gearloose
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Opt
Opt2mo ago
Radius of curvature is just v²/a
Gamertug
GamertugOP2mo ago
What That makes no sense Is there any derivation of it
Nimboi
Nimboi2mo ago
okay so when you project your object just pick any point hang on ill just send a picture
Nimboi
Nimboi2mo ago
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Nimboi
Nimboi2mo ago
basically at the point of projection, if you took some very close neighbouring points and then connected them into a circle what would be the radius of that circle
Gamertug
GamertugOP2mo ago
Ik that I am asking how is it v2/a
Nimboi
Nimboi2mo ago
it seems related to circular motion mv^2 /r v^2 / r maybe something like that @Opt do you have a derivation oh
Gamertug
GamertugOP2mo ago
Oh Yr I got it
Nimboi
Nimboi2mo ago
a = v^2 / r
Gamertug
GamertugOP2mo ago
Ye
Nimboi
Nimboi2mo ago
r = v^2 / a fair enough
Gamertug
GamertugOP2mo ago
Ok I try solving it
Gamertug
GamertugOP2mo ago
My ans is not matching
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hardcoreisdead
hardcoreisdead2mo ago
R= v^2/a(perpendicular) is a better way to represent
Opt
Opt2mo ago
Oh yeah it is. 🤦‍♂️ Because you need to represent v as a tangential component to your circle of curvature, and consider the radial component of acceleration

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