One of the propellers on the Beech King Air 200 is unbalanced such that the eccentric mass...

One of the propellers on the Beech King Air 200 is unbalanced such that the eccentric mass mu is a distance R from the spin axis of the propeller. The propellers spin at a constant rate ωr, and the mass of each engine is me (this includes the mass of the propeller). Assume that the wing is a uniform beam that is cantilevered at A, has mass mw and bending stiffness EI, and whose mass center is at G. For each problem, evaluate your answers for mu = 3 oz, me = 450 lb, R = 5.1 ft, ωr= 2000 rpm, EI = 1.13 × 1011 lb· in.2, d = 8.7 ft, and h = 10.9 ft.

Figure P9.38

Let the mass of the wing be mw = 350 lb, and model the wing as done in Example 9.2. Determine the resonance frequency of the system and find the MF for the given parameters.