The first and second critical speeds of a rotating shaft with two flywheels rigidly attached are 1

The first and second critical speeds of a rotating shaft with two flywheels rigidly attached are

ω1 = 375 rad/s and ω2 = 615 rad/s. The weights of the flywheels are W1 = 65 N and W2 = 80 N and the known influence coefficients of the shaft are a11 = 5.90 × 10−4 mm/N and a21 = 2.74 × 10−4 mm/N. Determine the influence coefficient, a22.