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A war-wolf or trebuchet is a device used during the Middle Ages to throw rocks a

ID: 2188085 • Letter: A

Question

A war-wolf or trebuchet is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling large vegetables and pianos as a sport. A simple trebuchet is shown in the figure below. Model it as a stiff rod of negligible mass, d = 3.20 m long, joining particles of mass m1 = 0.115 kg and m2 = 64.5 kg at its ends. It can turn on a frictionless, horizontal axle perpendicular to the rod and 12.0 cm from the large-mass particle. The operator releases the trebuchet from rest in a horizontal orientation. (a) Find the maximum speed that the small-mass object attains. m/s

Explanation / Answer

mgh1-mgh2 = 1/2 m v1^2 + 1/2 m v2^2 (64.5(9.8)(0.12)) - (0.115 * 9.8 * 3.2) = 28.5v1^2 + 0.05 v2^2

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