With what angular speed is the stick spinning after the collision?

A uniform stick 1.3 m long with a total mass of 220 g is rotated in its center. A 3.8g ball is fired through the stick midway between the pivot and one end. The ball approaches at 250 m/s and leaves at 140 m/s.

Answer 1

E=0.220*1.3^2/12
0.031

lb=3.8*(1.3/4)^2/1000
0.0004

0.0004*250*4/1.3=
0.0004*140*4/1.3+0.031*ω

solve for ω

ω=0.031/(0.0004*110*4/1.3)
0.229rad/s

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