It launches because the cup flies rapidly forward when the arm is released. Whatever is in the cup will then take flight.
Trebuchet: the vertical distance that the counterweight falls influences the amount of potential energy it has to fling the arm on the opposite side, with the projectile. So too would the distance the counterweight and the projectile are from the rotaional axis. Depends on the mass of both the counterweight and the projectile too. Catapult: depending on the material used to store energy when tensioned, and the distance of the rotational axis from the projectile.
LIFE LIFE
As far as i know there are three: the basic catapult, trebuchet, and the floating arm trebuchet.
The difference is that the trebuchet sling the stone or fireballs .A catapult doesn't sling and it doesn't carry as much weight
There were at least three different trebuchet designs in the Middle Ages. Simplest was a hand trebuchet, which could be operated by a single soldier. It was a large sling mounted on the end of a pole, and could throw objects farther than an ordinary sling, even a staff sling, from which it was derived. Larger, and capable of throwing heavier object farther, was the traction trebuchet, which was operated by a crew, all of whom pulled on ropes to power it. The largest trebuches were counterweight trebuches, which were powered by gravity. The arm of the trebuchet was pulled down with a winch, and this raised a counterweight at the other end of the arm. By slipping the rope holding the arm down off its connection, the arm was freed, and the projectile was thrown. This resulted in sufficient power to throw objects weigh hundreds of pounds against castle walls or over them. This was the heaviest artillery available before the introduction of the cannon. New designs in trebuchets have been recently introduced as trebuchets have begun to be used for sport. The floating arm trebuchet is engineered to be as efficient as possible for modern sporting events. There is a link below to an article that describes these differences in more detail.
leverage
the differencce is a traction trebuchet has people jumping on one a rope end to fling the projectile the counterweighted uses a counter weight 3x the weight of a normal projectile of 12 cwt. to fling the projectile
The projectile otherwise known as the stone ball was held by a "sling" which was like a rope-like sac that was attached to the edge of the throwing arm. After the ropes were pulled, and the arm fell, the throwing end would launch up in the air, then the sling would release the projectile in the air. I think this worked well as the sling held the projectile well enough.
The trebuchet is an awesome medieval siege weapon that uses gravity to launch a projectile over an enemy's walls. On one end is a massive weight that is often far heavier in proportion to the projectile. On the other end is a sling that holds the projectile. When the swing arm is set in motion, the release mechanism frees the sling at the highest point in the swing. This allows the projectile to get the highest trajectory as possible so that it could get over enemy walls.The key difference between catapults and trebuchets is that the catapult's basket, which holds the projectile, is attached directly to the swing arm whereas the trebuchet's is attached to a sling. Despite what many will say, the difference does not lie in the way that it gets its motion, whether elastic or kinetic, but way the projectile. Catapults were used to break down the enemy's wall because of its lower traject
-- cannonball -- rifle slug -- javelin -- baseball -- Volkswagen leaving a trebuchet
Trebuchet: the vertical distance that the counterweight falls influences the amount of potential energy it has to fling the arm on the opposite side, with the projectile. So too would the distance the counterweight and the projectile are from the rotaional axis. Depends on the mass of both the counterweight and the projectile too. Catapult: depending on the material used to store energy when tensioned, and the distance of the rotational axis from the projectile.
We would object to that statement, and argue that the motion of a projectile after launch is determined by the speed and direction of the launch.
to provide a counter weight that would help propel the projectile by using the force of gravity
I'm unsure as to what exactly a distance magnifier is so hopefully someone with expertise in trebuchets can add to this. However I am confident that a trebuchet works on the principle of a lever. A lever is a force magnifier. Yet a trebuchet also uses a sling to launch the projectile in a parabolic arc which has the effect of increasing the distance, so perhaps it qualifies as both? A lever is most often used as a force multiplier, where the load moves through a smaller distance than the applied force, but in the case of a trebuchet the lever is used in the opposite sense. The load moves through a greater distance than the applied force and so the trebuchet is a distance multiplier.
A catapult is used to throw things. If, for example, you look at the trebuchet, you see that it has a very heavy load, heavier then the projectile, that is set up above the ground. This gives the load and consequentially the trebuchet a lot of potential energy. The projectile is launched when the load starts to fall on the ground, when it's falling, it gets kinetic energy which is given to the projectile. The projectile uses it to build up potential energy as it flies towards it's goal, and then gains back the kinetic energy as it falls.
The vertical component of the projectile's motion is uniformly accelerated, no matter what the angle of launch was.
The half maximum range of a projectile is launched at an angle of 15 degree