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OSU / Mechanical Engineering / MECHENG 2010 / What are the principles of Newtonian Mechanics?

What are the principles of Newtonian Mechanics?

What are the principles of Newtonian Mechanics?

Description

Mechanics is a physical science dealing with the action of forces on bodies

        ↳ Bodies - solids, liquids, or gases

Statics - solid mechanics

↳ bodies at rest

MECHANICS

↙           ↓           ↘

Rigid bodies : will not change shape under force

Statics - at rest (ME 2010)

Dynamics - under acceleration (ME 2030)

Deformable bodies

Elasticity: deformation is recoverable (ME 2020)

Plasticity: permanent deformation

Fluids

Incompressible

 (liquids)

Compressible

(gases)

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Principles of Newtonian Mechanics

  1. Space - use cartesian coordinates to establish location
  2. Time - when/how long? More key in dynamics
  3. Mass: how much?
  4. Force: action of one body on another

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Absolute Concept: independent of each other

                        Space, Time, Mass

Derived Concept: needs absolute concepts to define

                        Force

Definitions

Particle: defined ny a single point in space

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Rigid Body: composed of multiple particles at fixed distances from each other

Scalar: physical quantity defined only by magnitude

                ex. temperature, time, mass, etc.

Vector: need both magnitude and direction

                ex. force, moment, displacement, velocity, acceleration

Newton’s Law of Motion

1. Law of Equilibrium:

        Balance: net forces lead to rest

        

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2. Acceleration:

        Imbalance in forces: body wants to move under acceleration

        FaDon't forget about the age old question of psy 240 purdue

        F=ma

3. Action and Reaction:

        To every action, equal and opposite reaction

Newton’s Law of Gravitation

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G=gravitational constant        

G= gravitational acceleration

Units

Qty

SI

US

length

meter

ft

mass

kg

slug

time

sec

sec

force/weight

N

lbf=lb

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