The slender rod of mass M is subjected to the force and couple moment. When the rod is in the position shown it has angular velocity ω₁. Determine its angular velocity at the instant it has rotated 360°. The force is always applied perpendicular to the axis of the rod and motion occurs in the vertical plane.

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Given: mrod 4 kg = @1 = 6 rad S F = 15 N M = 40 N.m a = 3 m 8 = 9.81 m M a