An airplane of weight W and wing area S flies level at speed V while executing a turn of constant radius R. The wing can pull a maximum lift coefficient CLmax before stall. Derive the formula for the turn radius versus flight speed at this maximum lift coefficient. This radius represents the tightest turn the airplane can make at the given flight speed. Plot 1/R versus V for the airplane in Problem 2A. When 1/R = 0 do you get the correct limit of level flight stall speed? Hint: In a steady turn the lift must equal the resultant of the weight vector and the centrifugal force vector.

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?