Projectile Launchers: Finding the Relationship between Launch Angle & Range

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The discussion focuses on building or purchasing a projectile launcher to explore the relationship between launch angle and range. A consistent force is crucial, and suggestions include using a compression or expansion spring for reliability, rather than compressed air or explosives. Simple designs involve using rubber bands or a slingshot, with a hinge mechanism for angle adjustments. The importance of maintaining initial velocity across different angles is highlighted, along with the potential use of a friction coupling for consistent pressure. Overall, participants provide practical ideas for constructing an effective launcher.
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Hi all, I'm wondering if someone can help me out with a problem I'm having...

I've been assigned a lab where I must build / buy a projectile launching device, and then determine the relationship between the launch angle and the range of the projectile launched. However, I have no idea where to start. The launcher has to maintain a close to consistant force when it launches the object, so I am unable to think of anything I could make / buy that could accomplish this. If anyone could help me out on any ideas to do, or something relatively cheap to buy, I'd be quite grateful.

Thanks ahead of time.
 
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If there are no specific requirements for long-range, you might be best to go with a compression or expansion spring of known qualities to achieve the consistency. It's much easier than trying to get identical results from successive trials with compressed air or explosive propellants. The whole thing can be assembled on a board hinged at one end to another one. Set your angle using a protractor and a wedge.
 
The simplest device is probably to take a pencil or some flat stick and place it through a number of similar rubber bands.

Then wind the pencil around and around until you have built up lots of potential energy in the elastic (so the elastic is twisted).

Of course you have to attach the ends of the rubber bands to something.

Working alongs these lines you should be able to knock something up pretty fast. And then as Danger says you just need to place it on a board with a hinge so you can measure the angle of test firing (of course you also need to attach a little basket to the end of the stick so that it can indeed launch things).

Or if you wanted to be fancy...

http://www.redstoneprojects.com/trebuchetstore/onager_plans.html
 
Use a slingshot and measure the distance in paces. The problem with the constant force devices is that when you change the angle the initial velocity will not necessarily stay the same, especially if you accelerate the object over some fixed distance (usually in a pipe) since the component of gravitational acceleration will vary as you accelerate the projectile. One could maybe use a friction coupling on a pump. The object then flies off at some fixed pressure. Test it horizontally with several test runs to see if it is reproducable.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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