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The Principle of Moments

The Principle of Moments: for a body in equilibrium (balanced!) the sum of the clockwise moments is equal to the sum of the anticlockwise moments.

clockwise moments = anticlockwise moments

Garfield has considerably more weight than Odie - so for them to 'teeter-totter' Odie has to sit a bigger distance away from the fulcrum. To play 'see-saw' their moments have to be equal (according to the Princlple of Moments):

F1d1 = F2d2

As Odie has less weight (force) he needs more distance!

How to tackle questions:

    • Draw a diagram and mark on all of the information you have been given and allocate the unknown a symbol (usually F or d) - in an examination annotate the one on the paper.
    • Identify the 'pivot point', 'turning point' or fulcrum - the point around which the whole system turns.
    • Identify all of the forces acting.
      • If they act through the support you can ignore them (as the support will produce a reaction force that will cancel them out!)
      • You may have to calculate some of the forces as they may not be given to you - you may be given 'mass' instead of weight, for example.
    • Calculate the perpendicular distance from each of the forces to the turning point - in advanced level questions you are rarely given the correct distance!
    • Work out all of the clockwise moments and add them together
    • Work out all of the anticlockwise moments and add them together
    • State the Principle of Moments
    • Equate the clockwise and anticlockwise moments
    • Find the unknown
    • Check that this unknown is actually the value you are asked for in the question - sometimes they ask you for a distance that requires this information before you can do the last step!
    • Check that you have included the correct unit in your answer and that it is to the correct number of significant figures. 

 

 

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