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Balances and Springs

Balancing interactivity with springs and weights.

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Inside Outside

Balance the bar with the three weight on the inside.

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Balance Point

Attach weights of 1, 2, 4, and 8 units to the four attachment points on the bar. Move the bar from side to side until you find a balance point. Is it possible to predict that position?

Swings and Roundabouts

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
It may help many students to establish first the principle of moments via the easier problem : "Inside Outside" .

Then use some reasoning about angles and trigonometry to solve this problem.

Experimentation is a good preliminary step to get a feel for the dynamics and relationships operating here, before attempting some analysis.

There is also scope for a natural progression into general results.

Students may also develop their own questions with a little encouragement.