Answer to Question #123646 in Mechanical Engineering for Alwin wilson

Question #123646
Consider a rigid square plate of 1m side, its left edge being attached to a torsional spring of stiffness 10Nm/rad. There is an air flow coming from the right. The equilibrium position of the plate without flow is the horizontal position, as represented on the figure. At which velocity (m/s) does the static instability occur?
1
Expert's answer
2020-06-26T05:54:33-0400

Here, we have given density of air as 1.225 , Torsional stifness= 10 Nm/rad

Here figure attached to this question is below



So here ,

Net torque= Force*perpendicular distance

Torsional stiffness


v=1.687 m/s is the velocity of air


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