An inventor has proposed a multi-blade wind turbine. The downwind rotor is to have a diameter of 12.2 m. Each blade is 5.36 m long, with a thickness of 7.62 cm and width of 20.3 cm. Assume that the blades have a rectangular shape. The blades are to be made of wood, which can be assumed to have a modulus of elasticity of 1.38 x 1010 Pa and a mass density of 640 kg/m3. The rotor turns at 120 rpm. Ignoring other potential problems, are any flap wise vibration problems to be expected? Explain.
Note: Assume that the flap wise direction corresponds to the smallest dimension of the blade (i.e. its thickness). Ignore rotational stiffening.
Hint: Use the Euler method.