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Can someone please use physics to model this trebuchet. My goal is to be able to

ID: 1796411 • Letter: C

Question

Can someone please use physics to model this trebuchet. My goal is to be able to model this in 2D to find an equation that models the projectile after it leaves the rope at 45 degrees above the right-hand side of the trebuchet. I was thinking about breaking this up into different parts or phases. 1. One focusing on the counterweight that pivots and using kinematics throughout the launch(rotation). 2. Maybe a torque diagram with the pivot point as my reference point. 3. The launch arm in two phases: the rotation of the arm before the mass(projectile) loses contact with the ground and a second phase where the rope is swinging with the mass(projectile) off the ground. Assumptions: frictionless pivot point, massless "launch arm", frictionless slide where the projectile is on the ground. Feel free to let me know if you have any other thoughts

m2 r 0 d3 m1

Explanation / Answer

If the launch of the projectile is at 45 deg, the horizontal range is maximum for the given launch velocity.

So you should have a guide for the projectile holder so it always points at 45 deg in entire flight path.

The heavier the counterweight larger throw velocity.similarly if you increase the pivot height ,counter falls through grater height releasing more potential energy to become kinetic energy.

the ofcourse is to release the projectile at 45 degres