5. A war-???wolf or trebuchet is a device used during the Middle Ages to throw r

Question

5. A war-???wolf or trebuchet is a device used during the Middle Ages to throw rocks at castles and sometimes now used to fling pianos as a sport. A simple trebuchet is shown in Figure P10.19. Model it as a stiff rod of negligible mass, 3.00 m long, joining particles of mass 60.0 kg and 0.120 kg at its ends. It can turn on a frictionless horizontal axle perpendicular to the rod and 14.0 cm from the large-???mass particle. The rod is released from rest in a horizontal orientation. Find the maximum speed that the small-???mass object attains.

Explanation / Answer

14.0 cm = 0.140 m

Let the resultant force on the lighter mass = F

g = 9.8 m/s²

60.0 x 9.8 x 0.140 - 0.120 x 9.8 x (3.0 - 0.140) = F(3.0 - 0.140)

F = 27.60 N

F = mv²/r

v² = Fr / m

v = (Fr / m)

v = (27.60 x (3.0 - 0.140 / 0.120)

v = 25.6 m/s

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