Answer to Question #29126 in Mechanics | Relativity for EJ

Question #29126
The Force used in an onager catapult is exerted near its axis. (The catapult has both twisted rubber at the axis and a rubber band just above it, pushing the arm near its base like a slingshot). When we double the length of the arm of the catapult, but still use the same Force at the same point as before near the same axis, does the distance in the Torque equation change? In an experiment we have found that the longer arm/lever makes the ball fly a longer distance, but how do we compute this into the equation? Is the force element perpendicular to the arm not related to the exact spot (distance from axis) where the force is exerted? We also tried 3 types of balls with the same size but different mass. How can one combine the mass of the ball used by the catapult with the calculation of the torque?
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