A piezo quartz plate vibrates with frequency ω = 10^7 s^−1. A body of mass comparable to the mass of the plate is placed on the end of the plate. The coefficient of friction between the body and the plate is µ = 1. Evaluate at what amplitude of oscillations the presence of this body significantly affects the frequency of oscillations of the plate. Estimate the maximum velocity of the body in the steady state vibrational mode when the amplitude of oscillations of the plate A = 10^−6 cm.