The slender rod of mass m_rod is subjected to the force and couple moment. When it is in the position shown it has angular velocity ω₁. Determine its angular velocity at the instant it has rotated downward 90^°. The force is always applied perpendicular to the axis of the rod. Motion occurs in the vertical plane.

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Given: mrod = 4 kg rad 001 = 6 F = 15 N S M = 40 N.m a = 3 m 8 = 9.81 m M a