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Mechanics

Cool goIITian

Joined:	14 Apr 2008
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28 Jul 2008 21:14:09 IST

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mechanics-rolling motion

None

Well i recently came across a question on rotational-

A cylinder of radius r rolls without slipping over a horizontal plane . two points a and b at a particular instant are located on the cylinder. a on vertically top point and b on the right hand side edge of the diameter.

they asked to find the radius of curvature of trajectory of a and b.

the suggested method was of a cycloid. i dont know how to do it.pls help............also suggest an easier method if u have any

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animal

Hot goIITian

Joined: 5 May 2008

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28 Jul 2008 22:11:09 IST

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yes the locus of the points will be cycloid which can be found conceptually but to find the radius of cuvature of this is a difficult ask

can u plz give the options as it helps in thinking in the right diection?

Manotapa Bhaumik

Cool goIITian

Joined: 14 Apr 2008

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4 Aug 2008 14:55:34 IST

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a) instantaneous radius of curvature for a is 2r/4r

b) instantaneous radius of curvature for bis 2r/8^1/3r

animal

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Joined: 5 May 2008

Posts: 194

5 Aug 2008 10:26:26 IST

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how??????????

plz tell the complete soln.

Manotapa Bhaumik

Cool goIITian

Joined: 14 Apr 2008

Posts: 55

8 Aug 2008 11:29:10 IST

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u asked the for the options......that's what i have given.......these r not the solutions.......even i am searching for that

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