Question

23 Energy: Prior to the mutiny on board the HMS Hermione in 1797, British sailors would roll cannonballs about the deck at night as a sign of discontent. Assume . 12-lb (5.45 kg) cannonball 4.62 inches (11.7 cm) in diameter is given an initial linear speed of 1.50 m/s and rolls without slipping across the deck. Moments of Inertia of Various bodies: Hoop /=MR?: Disk )= YMR ; Solid sphere: >=ZEMR?; Hollow sphere: )=23MR a) Find the angular velocity of the cannonball. Answer:

Answer 1

rolling, v=WR W = x 2 lismis 0.117 2 25.64 radle Aus- Iz 2/3 mR? I = 22 (5.45) ( 0 m I = 0.00746 kg im Ang © KE Į I - 1 (0.00796) (25.64) = 2.45 J Ang