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In Reply to: RE: Our old disagreement. posted by John Elison on October 21, 2012 at 17:34:14
Skate force equals stylus friction reaction force times the quotient of linear offset and arm length.Stylus friction reaction force equals the force normal to plane of the contact dimple times the friction coefficient.
On a blank disc, the force normal to plane equals the downforce. On a grooved disc, the force normal to each plane (groove wall) equals 1/sqrt2 times downforce so the sum for the two grooves equals sqrt2 times downforce.
The blank disc method therefore underestimates the skate force by about 30%.
The argument doesn't apply to balancing a linear tracker because the force which creates a side motion in an unbalanced arm is produced by gravity, not stylus reaction force.
Mark Kelly
Edits: 10/21/12Follow Ups:
Your argument also does not apply to Frank's arm if it passes the test, but thanks anyway.
Best regards,
John Elison
Ahh, I think I now see what you mean.
My argument only affects the amount of skate force. Frank's arm has no antiskate compensation, so if it passes your test it's because it is inherently balanced and needs none.
I think you are right.
Mark Kelly
The argument is a matter of basic physics, it applies to all arms which place a stylus in the groove.
Mark Kelly
Thanks, Mark.
I think you're wrong.
See what I meant to about us not being able to settle the matter?Lots of people support the blank disc method, many people (including me) think it defies basic physics. There's never been a clear cut demonstration one way or the other.
Fortunately that will change soon; as I said I will be able to measure the force directly on both a blank and a grooved disc.
Mark Kelly
Edits: 10/21/12
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