Kinetics and Forces in Movement

Benders and Spinners

  • Spinners push off to create momentum.
    • The longer they can maintain their foot on the block, the more time they have to push off effectively.
    • This concept relates to impulse momentum theory, which states that the total momentum is the product of mass and velocity.
    • Impulse Momentum Theory: Momentum change is proportional to the force applied over time.

Characteristics of Elite Athletes

  • Usain Bolt (Approx. 6'5" - 6'6" tall):
    • Advantages over shorter sprinters (e.g. Asafa Powell, approx. 5'10") include longer stride lengths and force production.
    • Taller athletes can push off the ground longer during starts, facilitating acceleration.

Aquatic Sports

  • Discussion on underwater starts in swimming, particularly for backstroke:
    • Swimmers have a limit of 15 meters underwater before surfacing.
    • Underwater exertion can yield faster starts if athletes maximize their push from the wall.
    • Key Idea: Underwater acceleration can lead to overtaking competitors who surface earlier.

Forces and Motion

  • Forces in Kinetics vs Kinematics:
    • Kinetics: Focuses on forces and their impact on motion.
    • Kinematics: Deals with the motion of objects without considering the forces.

Types of Forces

  • Conservative vs Non-Conservative Forces:
    • Conservative Forces: Work done is independent of path; example: gravitational force (always directed towards center of mass of Earth).
    • Non-Conservative Forces: Work done depends on path taken; example: normal force (perpendicular to surface).

Normal and Weight Forces

  • Normal Force: Acts perpendicular to a surface.

  • Weight: Calculated using Newton's second law, represented as:

    • extWeight=extMassimesgext{Weight} = ext{Mass} imes g where g=9.8extm/s2g = 9.8 ext{ m/s}^2.
  • Weight is not conservative because it always acts downwards towards the center of mass.

Gravity and the Fall Line in Skiing

  • Fall Line: Direction in which gravity acts most effectively while skiing.
    • Good skiers maintain alignment along this line to maximize performance.

Dynamics and Gravity

  • When skiing, athletes must displace their body mass ahead of the line of gravity to maintain momentum.

  • Weight Effect: Greater mass increases the impact of gravity on an object.

  • Newton's Second Law: Forces alter the movement of objects based on mass and acceleration:

    • F=mimesaF = m imes a

Contact vs Non-Contact Forces

  • Contact Forces: Forces acting between bodies that are in contact. Examples: friction, ground reaction forces.
  • Non-Contact Forces: Forces that act over a distance. Example: gravitational force.

Ground Reaction Forces

  • Represent the forces that bodies exert on the ground.
    • These can be broken down into vertical (z-direction), lateral (frontal component), and acceleration/deceleration components (y-direction).

Fluid Dynamics

  • Fluid dynamics involves forces related to fluids in motion, such as:
    • Drag: Resistance experienced by an object moving through a fluid (air or water).
    • Lift: Upward force against gravity.

Newton's Laws of Motion

  • First Law (Inertia): An object at rest will remain at rest; an object in motion will remain in motion unless acted upon by an external force.
  • Second Law (Acceleration): The acceleration of an object is proportional to the force applied, given as:
    • F=mimesaF = m imes a
  • Third Law (Action-Reaction): For every action, there is an equal and opposite reaction.
    • Example: In pool, hitting the cue ball sends it in motion while acting upon the object ball, causing it to move in response.

Work and Energy Principles

  • First Law of Thermodynamics: Energy cannot be created or destroyed; it can only be transformed from one form to another.
  • Kinetic Energy: Energy of motion.
  • Potential Energy: Stored energy based on position.
    • Energy conversion is crucial in sports performance (e.g. converting potential energy in a high jump to kinetic energy during a jump).

Efficiency in Movement

  • Humans are generally 40% efficient during various movements (e.g., running, jumping).
  • Comparison of human efficiency to predatory animals that optimize energy usage for speed.

Friction

  • Friction is the force opposing motion between surfaces in contact.
    • Types of Friction:
    • Static Friction: Prevents motion; relies on the normal force and the coefficient of friction.
    • Kinetic Friction: Occurs during motion; also calculated with the normal force but relates to slipping.
    • Friction Formula:
    • Fextfriction=extmuimesFextnormalF_{ ext{friction}} = ext{mu} imes F_{ ext{normal}}
Importance of Friction
  • Friction is essential for controlling movement, helping us slow down or stop.
  • The surface texture and area significantly influence frictional force.

Conclusion and Further Studies

  • This overview sets up a strong foundation for understanding the dynamics of movement in sports, including the interplay of forces, friction, and momentum.
  • Future discussions may include more in-depth analysis of muscle forces, levers, and the work-energy relationship in sports biomechanics.