### What is the angular velocity of the pendulum immediately

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A pendulum consists of a slender rod, AB, of weight Wr= 8.60 lb and a wooden sphere of weight Ws= 21.7 lb .(Figure 1) The length of the rod is d = 7.70 ft and the radius of the sphere is R = 0.500 ft . A projectile of weight Wp = 0.400 lb strikes the center of the sphere at a velocity of v1 = 851 ft/s and becomes embedded in the center of the sphere. What is the angular velocity of the pendulum, immediately after the projectile strikes the sphere?

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