Mechanics Flashcards
Kinematics
- Describes the motion
- Position, velocity, acceleration
Kinetics
- Describes how the motion is produced
- What forces create the motion
- Types of energy that motion utilizes
- The power required to initiate and guide the motion
Newton’s laws of motion describe the connection between
- Forces that act upon an object
- The manner in which the object moves
Newton’s First Law (the law of inertia)
- An object at rest stays at rest
- An object in motion stays in motion with the same speed and the same direction (unless acted upon by an unbalanced force)
- Predicts behavior of objects when forces are balanced
Two predictions of Newton’s First Law
- Resting objects will continue to rest
- Moving objects will continue to move
Forces applied in Newton’s First Law
- Horizontal and vertical forces are applied to the object
- These forces act upon the object
- For motion to occur, inertia must be overcome
Inertia
- Resistance
- An object has to change its state of motion
- Solely dependent upon the mass of an object
Newton’s Second Law
- The sum of the net forces acting upon an object equals its mass times acceleration
- Defines the behavior of objects when forces are not balanced
Newton’s Second Law is the relationship among
- Net force
- Mass
- Acceleration
- Net force is the sum of all forces acting upon an object
Force
- The change in momentum over time
- Occurs when forces are not balanced
Acceleration is dependent upon
- The net force acting upon the object
- The mass of the object
- F = m x a
Force definition
- Strength exerted upon an object
- Net force is the sum of all forces exerted on an object
Forces involved with net force calculation
- Gravity
- Resistance forces
Resistance forces
- Inertia
- Static Friction
- Dynamic Friction
- Compression, tensile, and torsional
- Air resistance
Acceleration
- Proportional to the magnitude of the net force
- Occurs in the same direction of the force applied
Acceleration is inversely proportional to
- Mass applied
Acceleration equation
- Equal to the final velocity minus the initial velocity divided by time
- (Vf - Vo)/(tf - to)
Acceleration relationships
- Greater mass means greater inertia
- More force is required to change their motion
- Increased force = increased acceleration
- Increased mass = decreased acceleration
Newton’s Third Law
- Whenever one body exerts a force on a second body, the second body exerts
an oppositely directed force of equal magnitude on the first body - “For every action there is an opposite and equal reaction”
Forces do not cancel each other because
- They act upon different systems
- When Body A exerts a force on Body B, then simultaneously, Body B exerts a force on Body A in the opposite direction
Momentum
- mass x velocity
Newton’s First Law (intertia) in walking
- Prior to heel contact, swinging leg has mass and forward momentum
- At heel strike, forward velocity and momentum go to zero
Newton’s Second Law at heel strike
- The change in momentum is great
- The time it takes to get to zero
- The force is very great as heel strike occurs quickly
As we walk faster
- Heel strike is shorter
- Force on the foot is greater (F = m x a, so more acceleration results in greater force)
Newton’s Third Law at heel contact
- The force generated by heel strike is applied to the ground
- The ground is pushing back of on the heel (ground reactive force)
Work
- Work is force x displacement
- W = F x d
- Measured in joules
Work results when
- A force causes displacement
- Mechanical Work
- Physiological Work
- No displacement means no work
Work applied to heel strike
- There is no displacement of the stance limb, therefore no mechanical work
- But there is physiological work
Power
- The rate at which work is done upon an object
- P = W/t
- Measured in watts
Watt
- Work = joules
- Time = seconds
- Joules/second = Watt