Launch a Ping Pong Ball with a Planar Bistable Mechanism: Step-by-Step Guide

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A planar bistable mechanism is needed to launch a ping pong ball horizontally, utilizing a club link that triggers the mechanism with a slight push. The design requires understanding the dimensions of the links and the type of spring to use, with a focus on energy storage principles. The mechanism should have two stable positions and an unstable equilibrium for maximum energy storage. Background information on Mohr's circle and Hooke's law is suggested for calculating energy storage. The discussion also mentions a previous project using a rat trap ballista to demonstrate potential energy through changes in static height with varying weights.
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Hello all,

Basically we need to come up with a planar bistable mechanism that will launch a ping pong ball. Here's a quick image I made: http://freewebsite.0nyx.com/images/mech.html

The club link is supposed to hit the ping pong ball and the goal is to make it go as horizontally far as possible.

By bistable it means that the mechanism must have two positions with unstable equilibrium position of max. energy storage somewhere in between. The mechanism is triggered with a slight push to the club link.

So how do I approach this problem. Say I know that the length between two pivots is 2 inch. And I'm supposed to figure out the dimensions of the links and what type of spring to use. If someone can throw some background info to this mechanism or some equations for energy storage of spring etc. will be helpful.

Thank you.
 
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For my project I used a rat trap ballista (so called catapult) To get the energy Iwas suposed to use Mohr's circle because of the orientation of the spring. But you should be able to use the energy version of http://en.wikipedia.org/wiki/Hooke%27s_law" law.
The way I cheated my lecturer was to set the device up vertically and I proved the potential energy by the change in static height maintained by the spring for different weights hung off it. Hope this helps.
 
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My idea is that I want to use immerse Whitetail Antlers in a fishtank to measure their volumetric displacement (the Boone and Crockett system is the current record measurement standard to place in a juxtaposition with) I would use some sight glass plumbed into the side of the tank to get the change in height so that I can multiply by the tank cross-section. Simple Idea. But... Is there a simple mechanical way to amplify the height in the sight glass to increase measurement precision...

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