Solved

Posted on 2012-09-07

i am working on this problem.

All i need is : i need to come up with an equation of helix right ? I know how to find the intrinsic basis but i need to start from the position r of the particle where r is equal to the helix . Am i correct ?

1.jpg

All i need is : i need to come up with an equation of helix right ? I know how to find the intrinsic basis but i need to start from the position r of the particle where r is equal to the helix . Am i correct ?

1.jpg

14 Comments

and I interpret your question as:

"i need to start from the position r of the particle where r is equal to the angle θ"

then that does not seem correct, unless you are trying to say "when r and θ are both 0"

and by r you mean something like "the arc-length parameter s"

If you mean "I need to find position r of the particle as a function of the angle θ"

then that sounds like a useful thing to do, although it may be possible to answer some of the questions in problem 2.8 without need of finding the function.

What is "angle e1 and theta e2"

if e1 is a unit vector, what is "angle e1"

and if theta is an angle, what do you mean by "theta e2"?

Do you mean "the angle between e1 and e2"?

How are you defining the unit vectors e1 and e2?

If r is a position in 3 dimensions, don't you want 3 parameters to describe it?

If neither the helix nor the ground are moving, then both are fixed to each other.

If by "ground" you mean "the base of the helix", are you trying to say you want the two references to be:

the position of the point on the ground closest to the bead

and, the height of the bead above the ground?

since angle and theta are changing is my initial position function r correct ?

How does "angle" change with "theta"?

If e2 points along the axis of the helix, then the proportionality constant between theta and the projection of r along e2 would depend on R and φ

and you'd still need a third unit vector to describe the position of the bead.

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