Forces (Moments, Hooke's Law, Mechanical Quantities)

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  • FORCES
    • MECHANICAL QUANTITIES
      • Vector
        • Magnitude and direction
        • e.g. velocity, force, displacement
      • Scalar
        • Magnitude only
        • e.g. time, distance, seed
      • Centre of mass
        • The single point where an object's weight is said to act
      • Resultant force
        • sum of all forces in all directions acting on an object
        • found by adding/subtracting forces acting along a straight line
      • Weight
        • larger the mass, stronger the field, greater the attraction
        • measured by a newton meter/calibrated spring-balance
        • gravitational attraction
        • W=mg
          • g=0.8 N/kg on Earth
    • HOOKE'S LAW
      • Elastic potential energy
        • Ee = ½ ke^2
          • 1 J = 1 Nm
        • W=Fs
        • also applies to compression
      • Force is proportional to extension up to the limit of proportionality
        • F = ke
          • e = extension (m)
          • k = spring constant (Nm^-1)
        • Deformity
          • Elastic deformity
            • return to original shape when load removed
          • Plastic deformity
            • Does not return to original shape when load removed
              • spring is pulled too far
          • changing shape
      • Work done
        • against friction, causes increase in temp. of object
        • Work is done when a spring is stretched/ compressed
          • more than one force is applied
        • when energy is transferred from object doing the work to another form
    • Moments
      • turning effect of a force around a pivot
        • M = Fd
          • d is perpendicular to the line of action (m)
          • M = moment (Nm)
          • clockwise moment = anticlockwise moment
      • Equilibrium
        • clockwise moment = anticlockwise moment
      • Gears
        • Alter force + speed
        • High gear
          • Large gear drive small gear
            • rotates faster & smaller moment
        • Low gear
          • Small gears drive large gears
            • Large gears rotate slowly & larger moment
              • force applied is further away from pivot
                • momentum of large gear is greater
      • Levers
        • act as force multiplier
        • make up by load, effort, pivot
        • increases a provided force
        • effort to pivot > pivot to load
          • force applied on load is greater to reach equilibrum

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