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Principle of Moments

Anticlockwise winsThe left-hand turning effect is greater.
TURNING EFFECTS LABmoment = force × distance7.8 N·m3.9 N·m50403020101020304050PIVOT2.0 kg2.0 kgLeft: 40 cm from pivotRight: 20 cm from pivot
Compare both sides
m1gd1=m2gd2⇒7.85=3.92m_1 g d_1 = m_2 g d_2 \Rightarrow 7.85 = 3.92
Anticlockwise7.85 N·m
Clockwise3.92 N·m
Net moment3.92 N·m
DirectionAnticlockwise
Try balanced arrangements

Momentforce × perpendicular distance from the pivot

At balancetotal anticlockwise moment = total clockwise moment

Moment values and the balance condition are quantitative. Tilt speed and angle only show the direction and relative size of the imbalance; they do not model rotational acceleration or inertia.

  • Make the beam tip clockwise
  • Balance the beam
  • Hold up a 2 kg mass at 40 cm using a 4 kg mass — where must it hang?
  • Produce a clockwise moment of about 12 N·m