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Trebuchet

Help the military to launch aerial targets. The proposed device is based on an ancient engine of war - a trebuchet...
1. How fast must the target be moving when it leaves the bucket so that it it peaks 40 feet above B? How far to the left of B will it reach this peak?
2. What is the moment of inertia of the trebuchet (pipe, cylinder, bucket, and target) about point B? Describe this as a function of the mass of the counterweight.
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