Mechanics

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  • Created by: goliver3
  • Created on: 11-01-17 08:42

Vectors

  • A scalar quanitity only has magnitude, whereas a vector quantity has both magnitude and direction
  • Pythagoras' theorem and trigonometry is used to find resultant forces
  • An object is in equilibrium if
    • The resultant force acting on the object is zero
    • The sum of clockwise and anticlockwise moments equals zero
    • The forces create a closed triangle
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Moments

  • The moment of a force about a turning point is the force (N) multipled by the perpendicular distance from force to turning point (m)
  • Moments are measured in newton metres (Nm)
  • Sum of clockwise moments = sum of anticlockwise moments when in equilibrium
  • A couple is two equal forces acting in opposite directions but not through the same point, creating a turning effect
  • The moment of a couple is calculated by multiplying the size of one of the forces by the perpendicular distance between the two forces
  • The centre of mass of an object is the point at which all mass appears to act
  • In a uniform object the centre of mass is in the centre of the object
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Motion Along A Straight Line

  • S = displacement (m)
  • U = initial velocity (ms^-1)
  • V = final velocity (ms^-1)
  • A = acceleration (ms^-2)
  • T = time (s)
  • V = change in s/change in t
  • A = change in v/change in t
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Newton's Laws Of Motion

  • Newton's first law
    • An object continues in a state of rest or uniform motion in a straight line unless acted on by a resultant force
  • Newton's second law
    • The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force
    • F = force (N)
    • M = mass (kg)
    • A = acceleration (ms^-2)
    • change in(mv) = change in momentum (kg ms^-1)
    • F = ma
    • F = change in(mv)/change in t
  • Newton's third law
    • When two objects interact they exert equal and opposite forces on each other
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Work, Energy, & Power

  • W = work done (J)
  • F = force (N)
  • S = displacement (m)
  • Theta = angle between the direction of motion of the object and the direction of the force (degrees),
  • P = power (W)
  • V = velocity (ms^-1)
  • W = Fs*cos theta
  • P = change in W/change in t
  • P = Fv
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Conversation Of Energy

  • Change in Ep = change in gravitational potential energy (J), 
  • Ek = kinetic energy in joules (J)
  • Change in Ep = mg*change in h
  • Ek = 1/2mv^2
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Momentum Concepts

  • Newton's second law
  • The resultant force is equal to the rate of change of momentum
  • p (momentum) = mv
  • Impulse (kgms^-1) = F change in t
  • F*change in t = change in(mv)
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