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Modelling Workshop General 1: Problem

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The Modelling Workshop General 1 Problem of the Modelling Course of Industrial Design of the TU Delft

The Modelling Workshop General 1 Problem of the Modelling Course of Industrial Design of the TU Delft

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  • 1. Workshop G-W-1: The Seesaw(Wipwap) Courtesy of http://www.falco.nl/producten/spel- sport/wipwaptoestellen/wipwap-de-wolken/"?afbeelding=1245" A seesaw (also known as a teeter-totter or teeter board) is a long, narrow board pivoted in the middle so that, as one end goes up, the other goes down. (ref. http://en.wikipedia.org/wiki/Seesaw) Question: Ergonomics study indicates that when child starts to swing by kicking the ground, the force is about 100N force, the time is about 0.2 second. Specify the constant of the torsion spring (unit newton*meter/radian) to make sure the children can swing more than 5 times with one "kick". We choose 1. Two children (20kg) sit on each side, respectively; We suppose the child is sit at the end of the board and the gravity center is on the board; 2. To simplify the question, we choose all rotation is around the center of the board; 3. The board is made by pinewood, the density is 700kg/m3 ; 4. The total length of the board is 4 meters, the width is 0.2 m and the thickness is 0.1 m; 5. At the center of the seesaw, there is friction torque 8Nm, and it always applied in the direction against the rotation; 6. Neglect the weight of the handle 7. Neglect the air friction

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