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Math Help - Catapult Formula

  1. #1
    RAz
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    Unhappy Catapult Formula

    Hey there!
    I'm kinda stuck on a problem that I've tried to overcome. I built a catapult (and I'm very proud of myself) that only uses a counter weight on it's main arm, which is 20 inches long. I want to make up a mathematical equation to go with my catapult, in respect to the counter weight and the object being thrown. Please help!

    Details: Counter weight (bag of marbles): 2KG
    Arm length: 20 inches
    Distance it can throw: 4 meters +
    Object thrown: 50grams +

    So the formula I had in mind would be in algebra, right? So I could replace the letter with the corresponding numeral. Example: w (weight) = 2KG.

    Any help would be appreciated!
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by RAz View Post
    Hey there!
    I'm kinda stuck on a problem that I've tried to overcome. I built a catapult (and I'm very proud of myself) that only uses a counter weight on it's main arm, which is 20 inches long. I want to make up a mathematical equation to go with my catapult, in respect to the counter weight and the object being thrown. Please help!

    Details: Counter weight (bag of marbles): 2KG
    Arm length: 20 inches
    Distance it can throw: 4 meters +
    Object thrown: 50grams +

    So the formula I had in mind would be in algebra, right? So I could replace the letter with the corresponding numeral. Example: w (weight) = 2KG.

    Any help would be appreciated!
    I've attached a sketch of the catapult as I imagine it could look like

    Do you know already the length of x?

    Or do you want to know the length of x so the "muzzle" speed is a maximum? Then the counterweight of 2 \cdot 9.81\ N and the weight of the "bullit" must be considered as constant. Right?
    Attached Thumbnails Attached Thumbnails Catapult Formula-katapult.gif  
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