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Projectile Motion characteristics and analysis procedures Objectives –Review characteristics of projectile motion (pp 329-347) –Review factors influencing projectile motion –Present and explain calculation methods for analyzing projectile motion Homework – due Wednesday, Feb 18 –Problems 7,9,10 on page 347

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Projectile motion characteristics It is a freely falling body, subject to only two forces – gravity and wind resistance May be dropped, or projected (1) vertically, (2) horizontally, or (3) obliquely Flight pattern is determined by initial velocity –Speed (V 0 ) –Direction ( )

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Projectile motion (cont’d)

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Projectile motion, cont;d

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Projectile motion, cont’d

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Ignoring air resistance, flight pattern is parabolic

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Projectile motion, cont’d Effect of angle or projection on flight pattern

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Projectile motion, cont’d Projectile height plays a role in optimal projection angle for horizontal distance

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Projectile motion, cont’d If projection angle is constant, range increases directly with magnitude of velocity

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Projectile motion, cont’d Resolving projectile motion into vertical and horizontal components – the first step in calculating motion parameters of interest V vert = V sin V horiz = V cos

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Projectile motion equations –Maximum height when given time of flight (hw prob #7) h = ½ at 2, where t = ½ total flight time –Maximum height when given initial velocity (hw prob #9) –Time of flight when given initial velocity (hw probs # 9, 10) –Range, or horiz dist when given initial Velocity (hw probs 9,10) –If time is calculated first, using above equation (hw probs 9,10) this reduces to: D horiz = V horiz T = V cos T

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Summary This chapter introduced basic concepts related to kinetics Several types of mechanical loads act on the human body. The distribution of force within a body structure is termed mechanical stress. Vectors quantities have magnitude & direction Vector problems may be solved by a graphic or a trigonometric approach. Kinematic concepts related to projectile motion were introduced Calculation methods for total body COM were presented

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