Marie Cornu, a physicist at the Polytechnic Institute in Paris, invented phasors

Question

Marie Cornu, a physicist at the Polytechnic Institute in Paris, invented phasors in about 1880. This problem helps you to see their general utility in representing oscillations. Two mechanical vibrations are represented by the expressions Y1 = 17.0 sin 4.50t and Y2 = 17.0 sin (4.50t + 50.0?) where y1 and y2 are in centimeters and t is in seconds. (a) Find the amplitude and phase constant of the sum of these functions by using a trigonometric identity. amplitude cm phase constant (b) Find the amplitude and phase constant of the sum of these functions by representing the oscillations as phasors. amplitude cm phase constant (c) State the result of comparing the answers to parts (a) and (b). This answer has not been graded yet (d) Phasors make it equally easy to add traveling waves. Find the amplitude and phase constant of the sum of the three waves represented by where x, y1, y2, and y3 are in centimeters and t is in seconds. amplitude cm phase constant

Explanation / Answer

a) this can be done by means of protapheresis forumla

b) representing them as pahsors reuslt is the same: Amplitude 34 cm, pahse 50

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