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Introduction to Sports Biomechanics: Analysing Human Movement ...

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INTRODUCTION TO SPORTS BIOMECHANICS<br />

Reaction forces<br />

Friction<br />

is little difference between the positions of the centre of mass (see later) and the centre<br />

of gravity. The former is the term preferred in most modern sports biomechanics<br />

literature and will be used in the rest of this book. One reason for this preference is that<br />

the centre of gravity is a meaningless concept in weightless environments, such as space<br />

shuttles. An athlete with a mass of 50 kg has a weight (G) of about 490 N at sea level, at<br />

which the standard value of gravitational acceleration, g, is assumed <strong>to</strong> be 9.81 m/s 2 .<br />

Reaction forces are the forces that the ground or other external surface exerts on the<br />

sports performer as a reaction <strong>to</strong> the force that the performer exerts on the ground or<br />

surface. This principle is known as New<strong>to</strong>n’s third law of linear motion or the law of<br />

action–reaction. The vertical component of force acting on a person performing<br />

a standing vertical jump – with no arm action – is shown as a function of time in<br />

Figure 5.2. This movement pattern shows the period during which the jumper is on the<br />

ground (A), then in the air (B), and finally during landing (C). The component of<br />

the reaction force tangential <strong>to</strong> the surface, known as friction or traction, is crucially<br />

important in sport and is considered in the next section.<br />

The ground, or other, contact force acting on an athlete (Figure 5.3(a)) can be resolved<br />

in<strong>to</strong> two components, one (F n) normal and one (F t) tangential <strong>to</strong> the contact surface<br />

(Figure 5.3(b)). The former component is the normal force and the latter is the friction,<br />

Figure 5.2 Vertical component of ground reaction force in a standing vertical jump with no arm action: (A) on the ground<br />

before take-off for the jump; (B) in the air; (C) landing.<br />

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