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The effects of third-order torque and self - Saint Louis University

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etween the objects is expressed as two components when<br />

there is attempted or actual relative displacement between<br />

surfaces in contact. One component, the normal force, is a<br />

pushing force with an orientation perpendicular to the<br />

shared contact-surface. <strong>The</strong> frictional force component<br />

impedes the motion between the surfaces <strong>and</strong> is, therefore,<br />

opposite in direction to that <strong>of</strong> intended or actual motion. 5<br />

<strong>The</strong> maximum static or the kinetic frictional force (F)<br />

tangent to the two surfaces is <strong>of</strong>ten hypothesized as<br />

proportional to the normal force, as expressed by the<br />

equation F = µN, where µ is the coefficient <strong>of</strong> friction<br />

between the surfaces, <strong>and</strong> N is the normal-force magnitude<br />

against the contact-surface <strong>of</strong> the object to be displaced. 6<br />

Each <strong>of</strong> two coefficients <strong>of</strong> friction is a constant which is<br />

related to characteristics <strong>of</strong> the contacting surfaces <strong>of</strong><br />

the objects; they are known as the static <strong>and</strong> kinetic<br />

coefficients <strong>of</strong> friction. 7 Ordinarily in static situations,<br />

the frictional force is just large enough to prevent<br />

relative tangential movement. Maximum static friction<br />

refers to the resistance to displacement encountered at the<br />

onset <strong>of</strong> motion; it corresponds to the smallest action<br />

required to initiate motion between surfaces that are at<br />

rest. Kinetic friction is the frictional force that<br />

impedes displacement during sliding motion between the<br />

4

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