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Kinetics and Kinematics
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Kinetics and Kinematics
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Kinematics
- describes the motion of the bodies and deals with finding out velocities or accelerations for various objects.
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Kinetics
- deals with the forces or torque applied on a body
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Kinematic Concepts for Analyzing Human Motion
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Anatomical Reference Planes
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A plane
- is a two-dimensional surface with
- an orientation defined by the spatial
- coordinates of three discrete points not all
- contained in the same line
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Sagittal plane
- divides the body vertically
- into left and right halves
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Coronal plane
- splits the body vertically
- into front and back halves of equal mass
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Transverse plane
- separates the body into
- top and bottom halves of equal mass
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Kinematic Concepts for Analyzing Human Motion
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Forms of Motion
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. Linear Motion
- Pure linear motion involves uniform motion of the system of interest, with all system parts moving in the same direction at the same speed.
- If the line is straight, the motion is rectilinear; if the line is curved, the motion is curvilinear.
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Angular Motion
- is rotation around a central imaginary line known as the axis of rotation
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General Motion
- When translation and rotation are combined, the resulting movement is general motion.
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Basic Concepts Related to Kinetics
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1. Inertia
- resistance to action or change
- the mechanical definition is resistance to acceleration.
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is the tendency of a body to maintain its current state of motion
- motionless
- moving with a constant velocity.
- no units of measurement
- the amount of inertia a body possesses is directly proportional to its mass.
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The more massive an object is
- the more it tends to maintain its current state of motion
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2. Mass
- is the quantity of matter composing
a body.
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unit
- kilogram (kg)
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3. Force
- A force (F) can be thought of as a push or a pull acting on a body.
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Each force is characterized by
- its magnitude, direction, and point of application to a given body.
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example
- Body weight
- friction
- air
- water resistance
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The action of a force causes a body's mass to accelerate
- F = ma
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Units
- units of mass multiplied by units of acceleration
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Newton (N)
- which is the amount of force required to accelerate 1 kg of mass at 1 m/s²
- 1 N = (1 kg)(1 m/s²)
- all forces that commonly act on the human body.
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4. Center of Gravity
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A body’s center of gravity, or center of mass,
- is the point around which the body’s weight is equally balanced, no matter how the body is positioned.
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In motion analyses,
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the motion of the center of gravity serves
- as an index of total body motion.
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From a kinetic perspective, the location of
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the center of mass determines the way in
- which the body responds to external forces
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5. Weight
- the amount of gravitational force exerted on a body.
- (ag): wt= mag
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units
- N or lb.
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As the mass of a body increases
- its weight increases proportionally.
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The factor of proportionality is
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the acceleration of gravity
- -9.81 m/s².
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6. Pressure
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force (F) distributed over a given area (A)
- F= A *P
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Units
- (N/cm²) and Pascals (Pa).
- (Pa = N/m²). (psi or lb/in²).
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7. Density
- The concept of density combines the mass of a body with the body volume.
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Density is defined as mass per unit of volume. The conventional symbol for density is the Greek letter rho (p).
- density (p) = mass/volume
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Units
- (kg/m³)
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In the English system
- not commonly used. Instead, units of specific weight (weight density) are employed.
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8. Torque
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moment of force.
- which may be thought of as a rotary force, is the angular equivalent of linear force.
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Algebraically
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torque is the product of force (F) and the perpendicular distance (d) from the force's line of action to the axis of rotation:
- T=Fd
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The greater the amount of torque acting at the axis of rotation
- the greater the tendency for rotation to occur.
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Units
- Newton-meters (N-m) or foot-pounds (ft-lb).
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9. Impulse
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When a force is applied to a body
- the resulting motion of the body is dependent not only on the magnitude of the applied force
- also on the duration of force applicatia.
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The product of force (F) and time (t)
- (J): = Ft
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Mechanical Loads on the Human
Body
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Compression
- pressing or squeezing force directed axially through a body
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Tension
- pulling or stretching force directed axially through a body
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Shear
- force directed parallel to a surface
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Mechanical Stress
- force within a body, quantified as force divided by the area over which the force acts
- The amount of mechanical stress created by a force is inversely related to the size of the area over which the force is spread.
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Torsion
- load-producing twisting of a body around its longitudinal axis
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Bending
- asymmetric loading that produces tension on one side of a body's longitudinal axis and compression on the other side
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Combined Loads
- simultaneous action of more than one of the pure forms of loading
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The Effects of
Loading
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When a force acts on an object, there are two potential effects.
- acceleration
- deformation (change in shape).
- The relationship between the amount of force applied to a structure and the structure’s response is illustrated by a load-deformation curve
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yield point (elastic limit)
- point on the load deformation curve past which deformation is permanent
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acute loading
- application of a single force of sufficient magnitude to cause injury to a biological tissue
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failure
- loss of mechanical continuity
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repetitive loading
- repeated application of a subacute load that is usually of relatively low magnitude
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Vector Algebra
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A vector
- A vector is a quantity that has both magnitude and direction,
- represented by arrow-shaped symbols.
- The magnitude of a vector is represented by its length and orientation indicates its direction.
- Example: Force, weight, pressure, specific weight, and torque are kinetic vector quantities; displacement, velocity, and acceleration
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Scalar
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quantities possess magnitude but have no particular direction
- associated with them.
- Example: Mass, volume, length, and speed
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Vector Composition
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To sum the effects of two or more forces acting on a given
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object we can use an
- operation is called vector composition
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Vector Resolution
- When a vector is resolved into perpendicular components
- a process known as vector resolution