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Introduction to Sports Biomechanics: Analysing Human Movement ...

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Figure 5.3 (a) Ground reaction force and (b) its components.<br />

CAUSES OF MOVEMENT – FORCES AND TORQUES<br />

or traction, force. Traction is the term used when the force is generated by interlocking<br />

of the contacting objects, such as spikes penetrating a Tartan track; this interaction<br />

between objects is known as form locking. In friction, the force is generated by<br />

force locking, in which no surface penetration occurs. Without friction or traction,<br />

movement in sport would be very difficult.<br />

If an object, such as a training shoe (Figure 5.4(a)), is placed on a sports surface<br />

material such as Tartan, it is possible <strong>to</strong> investigate how the friction force changes. The<br />

forces acting on the plane are shown in the ‘free body diagram’ of the shoe removed<br />

from its surroundings, but showing the forces that the surroundings exert on the<br />

shoe (Figure 5.4(b)). Because the shoe is not moving, these forces are in equilibrium.<br />

Resolving the weight of the shoe (G) along (F t) and normal (F n) <strong>to</strong> the plane, the<br />

magnitudes of the components are, respectively: F t = G sinθ; F n = G cosθ. Dividing F t<br />

by F n, we get F t /F n = tanθ. If the angle of inclination of the plane (θ) is increased, the<br />

friction force will eventually be unable <strong>to</strong> resist the component of the shoe’s weight<br />

down the slope and the shoe will begin <strong>to</strong> slide. The ratio of F t/F n (= tanθ) at which this<br />

occurs is called the coefficient of (limiting) static friction (µ s). The maximum sliding<br />

friction force that can be transmitted between two bodies is: F t max = µ s F n. This is<br />

known as New<strong>to</strong>n’s law of friction and refers <strong>to</strong> static friction, just before there is any<br />

relative movement between the two surfaces. It also relates <strong>to</strong> conditions in which only<br />

the friction force prevents relative movement. For such conditions, the maximum<br />

friction force depends only on the magnitude of the normal force pressing the surfaces<br />

<strong>to</strong>gether and the coefficient of static friction (µ s). This coefficient depends only on the<br />

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