1. (10 pts) An airfoil is mounted in a wind tunnel for the purpose of studying the aerodynamic properties of the airfoil's shape. A simple model of this is illustrated in Figure 1 as a rigid inertial body mounted on a rotational spring, fixed to the floor with a rigid support. Find a design relationship for the spring stiffness k in terms of the rotational inertia, J, the magnitude of the applied moment, Mo, and the driving frequency, w, that will keep the magnitude of the angular deflection less than 5 degrees. Assume that the initial conditions are zero and that the driving frequency is such that w² - w²>0. Figure 1 0 u(t)=M cos cat

Elements Of Electromagnetics
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1. (10 pts) An airfoil is mounted in a wind tunnel for the purpose of studying the
aerodynamic properties of the airfoil's shape. A simple model of this is illustrated in Figure
1 as a rigid inertial body mounted on a rotational spring, fixed to the floor with a rigid
support. Find a design relationship for the spring
stiffness k in terms of the rotational inertia, J, the
magnitude of the applied moment, Mo, and the
driving frequency, w, that will keep the magnitude
of the angular deflection less than 5 degrees.
Assume that the initial conditions are zero and that
the driving frequency is such that w² - w²>0.
Figure 1
0
u(t)=M cos cat
Transcribed Image Text:1. (10 pts) An airfoil is mounted in a wind tunnel for the purpose of studying the aerodynamic properties of the airfoil's shape. A simple model of this is illustrated in Figure 1 as a rigid inertial body mounted on a rotational spring, fixed to the floor with a rigid support. Find a design relationship for the spring stiffness k in terms of the rotational inertia, J, the magnitude of the applied moment, Mo, and the driving frequency, w, that will keep the magnitude of the angular deflection less than 5 degrees. Assume that the initial conditions are zero and that the driving frequency is such that w² - w²>0. Figure 1 0 u(t)=M cos cat
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