Unit F - Moments (copy)

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Equation: Moment, Force, Perp distance from pivot

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1c (1.30-1.33)

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Equation: Moment, Force, Perp distance from pivot

M = Fd

Moment = Force x perpendicular Distance from pivot

[Nm] = [N] x [m]

<p>M = Fd</p><p>Moment = Force x perpendicular Distance from pivot</p><p>[Nm] = [N] x [m]</p>
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2

Centre of graivty

The point at which the weight of an object acts

A freely suspended object swings until centre of gravity is vertically below point of suspension

<p>The point at which the <strong>weight </strong>of an object acts</p><p>A freely suspended object <strong>swings</strong> until centre of gravity is <strong>vertically below point of suspension</strong></p>
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3

Finding centre of gravity

  • Suspend shape and a plumb line from same point, and wait until they stop moving

  • Draw line along plumb line

  • Repeat but suspend shape from different pivot point

  • Centre of gravity is where two lines cross

<ul><li><p>Suspend shape and a <strong>plumb line </strong>from same point, and wait until they <strong>stop moving</strong></p></li><li><p><strong>Draw</strong> line along plumb line</p></li><li><p>Repeat but suspend shape from <strong>different </strong>pivot point</p></li><li><p>Centre of gravity is where two lines <strong>cross</strong></p></li></ul>
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4

Principle of moments

If object is balanced:

Total Anticlockwise moments = Total Clockwise moments

<p>If object is balanced:</p><p>Total <strong>Anticlockwise </strong>moments = Total <strong>Clockwise</strong> moments</p>
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5

Upwards forces with heavy object on light beam

  • If a light rod (no weight) is being supported at both ends, upwards force provided by each support isn’t always the same

  • If heavy object is placed on rod, support closest to object provides larger force

<ul><li><p>If a <strong>light rod</strong> (no weight) is being supported at <strong>both ends</strong>, <strong>upwards force </strong>provided by each support <strong>isn’t </strong>always the <strong>same</strong></p></li><li><p>If <strong>heavy object</strong> is placed on rod, support <strong>closest</strong> to object provides <strong>larger force</strong></p></li></ul>
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