Moments In order to understand Mechanisms better, we need to understand pivots, moments and equilibrium. Boom Counter balance weight.

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Presentation transcript:

Moments In order to understand Mechanisms better, we need to understand pivots, moments and equilibrium. Boom Counter balance weight

Equilibrium When something is balanced it is said to be in equilibrium. Pivot point Or fulcrum Fulcrum

Moments The Moment of a Force is the force multiplied by the distance from the pivot point. Moment = F x d Distance (d) Force (F) Fulcrum

Moments Torque may be represented as shown. Torque (turning force) = Force x Distance Pivot Point Force

The Principle of Moments Clockwise Moments = F 2 x d 2 Anti-clockwise Moments = F 1 x d 1 If F 2 x d 2 = F 1 x d 1 there is equilibrium Balanced when f1xd1 = f2xd2 The Principle of Moments states, that for there to be equilibrium, the clockwise moments must equal the anti-clockwise moments.

The Principle of Moments Clockwise Moments = F 2 x d 2 = 20nx1m = 20Nm Anti-clockwise Moments = F 1 x d 1 = 10Nx2m = 20Nm If F 2 x d 2 = F 1 x d 1 there is equilibrium 20Nm = 20Nm, Therefore, the loaded beam is in equilibrium. f2f2 f1f1 d1d1 d2d2