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Swings and Roundabouts

Age 14 to 16 Challenge Level:
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.