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Introduction to Sports Biomechanics: Analysing Human Movement ...

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INTRODUCTION TO SPORTS BIOMECHANICS<br />

technique in the flight phase of the long jump, in which the arm and leg motions<br />

transfer angular momentum from the trunk <strong>to</strong> the limbs <strong>to</strong> prevent the jumper from<br />

rotating forwards <strong>to</strong>o early in the flight phase.<br />

Trading of angular momentum<br />

The term ‘trading’ of angular momentum is often used <strong>to</strong> refer <strong>to</strong> the transfer of angular<br />

momentum from one axis of rotation <strong>to</strong> another. For example, the model diver – or<br />

gymnast – in Figure 5.19 takes off with angular momentum (L = L som) about the<br />

somersault, or horizontal, axis. The diver then adducts her left arm, or performs some<br />

other asymmetrical movement, by a muscular <strong>to</strong>rque that evokes an equal but opposite<br />

counter-rotation of the rest of the body <strong>to</strong> produce an angle of tilt. No external <strong>to</strong>rque<br />

has been applied so the angular momentum (L) is still constant about a horizontal<br />

axis but now has a component (L twist) about the twisting axis. The diver has ‘traded’<br />

some somersaulting angular momentum for twisting, or longitudinal, angular<br />

momentum and will now both somersault and twist. It is often argued that this method<br />

of generating twisting angular momentum is preferable <strong>to</strong> ‘contact twist’ (twist<br />

generated when in contact with an external surface), as it can be more easily removed by<br />

re-establishing the original body position before landing. This can avoid problems<br />

in gymnastics, trampolining and diving caused by landing with residual twisting<br />

angular momentum. The crucial fac<strong>to</strong>r in generating airborne twist is <strong>to</strong> establish a tilt<br />

angle and, approximately, the twist rate is proportional <strong>to</strong> the angle of tilt. In practice,<br />

many sports performers use both the contact and the airborne mechanisms <strong>to</strong> acquire<br />

twist.<br />

Figure 5.19 Trading of angular momentum between axes of rotation: (a) at take-off; (b) after asymmetrical arm movement.<br />

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