A 1.5-kg cylinder is mounted on a sting in a wind tunnel with the cylinder axis transverse...

A 1.5-kg cylinder is mounted on a sting in a wind tunnel with the cylinder axis transverse to the direction of flow. When there is no flow, a 10-N vertical force applied to the cylinder causes it to deflect 0.15 mm. When air flows in the wind tunnel, vortices subject the cylinder to alternating lateral forces. The velocity of the air is 5 m/s, the distance between vortices is 80 mm, and the magnitude of the lateral forces is 1 N. If you model the lateral forces by the oscillatory function F (t) = (1.0) sin ω0t N, what is the amplitude of the steady-state lateral motion of the sphere?