Seesaw Example

 Keinulauta esimerkki

An example of proportionality is a children's seesaw. The heavier child sits on one end and the lighter on one end. To control the balance, the heavier child moves closer to the pivot point. In mechanics to fill the balance condition. The child does not know this, but realizes this by feeling the equilibrium. The displacement in the swing is proportional to the change, so the calculation has a power notation and it is the number of the change. A child sits at one end and weighs 10 kg and the other child weighs 20 kg. The displacement is the number of steps from 1.00 -> 2.00 and it is three steps. The heavier child moves three proportional steps closer to the pivot point and towards equilibrium.

Material on this side (weight)

2.5 - 2 - 1.6 - 1.25 - 1.12 - 1.06 - 1.03 - 1 - 1.03 - 1.06 - 1.12 - 1.25 - 1.6 - 2

Non-material on this side (value)

1.0 - 1.25 - 1.6 - 2.0 -

There are three stages in the transition from one to two. The factor 1.0 is relative and equals 10 kg. In the swing, the relative position changes, but the balance between the different children being weighed remains.

Example

The position of the heavier child from the pivot point:

F0.1 L200 = F02 L

x =   F0.1 L200  = 0.1 x 200  = 100 cm

          F0.2 L          0.2

The child has to move 100 cm from the center of the seesaw. The example shows the simplicity of the calculating method. The task can be solved using the calculator function of the mobile phone.

6.10.2012*7:20 (43244 - 136)
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