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A pendulum consists of a slender rod, AB, of weight Wr = 8.70 lb and a...

A pendulum consists of a slender rod, AB, of weight Wr = 8.70 lb and a wooden sphere of weight Ws = 28.9 lb .(Figure 1) The length of the rod is d1 = 7.20 ft and the radius of the sphere is R = 0.500 ft . A projectile of weight Wp = 0.300 lb strikes the center of the sphere at a velocity of v1 = 866 ft/s and becomes embedded in the center of the sphere. What is ω, the angular velocity of the pendulum, immediately after the projectile strikes the sphere?

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