78. The point does two simultaneous harmonic oscillatio

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Uploaded: 15.10.2015
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78. The point does two simultaneous harmonic oscillations of the same frequency, occurring at mutually perpendicular directions expressed by the equation: 1) x = Acosωt and y = Acosωt; 2) x = y = and Acosωt A1cosωt; 3) x = Acosωt and y = Acos (ωt + φ1); 4) x = A2cosωt and y = Acos (ωt + φ2); 5) = x and y = A1cosωt A1sinωt; 6) = x and y = Acosωt A1sinωt; 7) x = y = and A2sinωt A1sinωt; 8) x = A2sinωt and y = Asin (ωt + φ2) Find (eight cases), the trajectory of the equation, to build it to scale and indicate the direction of motion. Accept: A = 2 cm, 3 cm A1 = A2 = 1 cm; φ1 = π / 2, φ2 = π.

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)

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