The foundation of an air compressor is subjected to harmonic motions (with the same frequency) in two perpendicular directions. The resultant motion, displayed on an oscilloscope, appears as shown in Fig. 1.112. Find the amplitudes of vibration in the two directions and the phase difference between them.

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y (mm) 12 10 00 4 x (mm) -8 6 -4 -2 0 -2 NO 2 4 16 8 10 12 2 FIGURE 1.112 Resultant motion of two harmonic motions.