(Solved): FIGURE 12B Vector addition of five amplitudes having the same magnitude and phase differenc ...

FIGURE 12B Vector addition of five amplitudes having the same magnitude and phase difference $$?$$. 12.4 Six simple harmonic motions of the same amplitude and period but differing from the next by $$+16^{?}$$ are to be added vectorily as shown in Fig. 12B. If each has an THE SUPERPOSITION OF WAVES 257 amplitude of $$5.0\mathrm{cm}$$, find $$(a)$$ the resultant amplitude and $$(b)$$ the initial phase angle of the resultant with respect to the first. Ans. (a) $$26.70\mathrm{cm}$$, (b) $$40.0^{?}$$