Chapter 2 Review of Forces and Moments - Brown University
Chapter 2 Review of Forces and Moments - Brown University
Chapter 2 Review of Forces and Moments - Brown University
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Another test configuration consists <strong>of</strong> two disks that are pressed into contact <strong>and</strong> then rotated with<br />
different speeds. The friction force can be deduced by measuring the torque required to keep the disks<br />
moving. An example (from<br />
http://www.ms.ornl.gov/htmlhome/mituc/te53.htm ) is shown below<br />
If you want to see a real friction experiment visit Pr<strong>of</strong>essor Tullis’ lab at<br />
<strong>Brown</strong> (you don’t actually have to go there in person; he has a web site<br />
with very detailed descriptions <strong>of</strong> his lab) – he measures friction<br />
between rocks, to develop earthquake prediction models.<br />
A friction experiment must answer two questions:<br />
(i)<br />
(ii)<br />
What is the critical tangential force that will cause the surfaces to start to slide? The force<br />
required to initiate sliding is known as the static friction force.<br />
If the two surfaces do start to slip, what tangential force is required to keep them sliding? The<br />
force required to maintain steady sliding is referred to as the kinetic friction force.<br />
We might guess that the critical force required to cause sliding could depend on<br />
(i) The area <strong>of</strong> contact between the two surfaces<br />
(ii) The magnitude <strong>of</strong> the normal force acting at the contact<br />
(iii) Surface roughness<br />
(iv) The nature <strong>of</strong> the crud on the two surfaces<br />
(v) What the surfaces are made from<br />
We might also guess that once the surfaces start to slide, the tangential force needed to maintain sliding<br />
will depend on the sliding velocity, in addition to the variables listed.<br />
In fact, experiments show that<br />
(i) The critical force required to initiate sliding between surfaces is independent <strong>of</strong> the area <strong>of</strong> contact.<br />
This is very weird. In fact, when Coulomb first presented this conclusion to the Academy Francaise, he<br />
was thrown out <strong>of</strong> the room, because the academy thought that the strength <strong>of</strong> the contact should increase<br />
in proportion to the contact area. We’ll discuss why it doesn’t below.