Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.

Question
Clutch Mechanism
8. In the clutch mechanism shown, two flat circular disks of radius R
are mounted so that they can be brought into contact causing a net frictional force.
The contact pressure in general depends on the distance from the center and in
one specific case may be modeled buy
P(r) = Poe-kr,
where k is a constant and r is the distance from the center of the discs.
The integral
cR
F =
2m " P(r)rdr
gives the total contact force between the discs.
Cross-section
a. In your own words explain where this formula comes from.

Image Transcription

Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.

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