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Four simple harmonic vibrations
$\begin{array}{l} x_{1} = 8 \sin (ωt), x_{2} = 6 \sin (ωt + \frac{π}{2}), \\ x_{3} = 4 \sin (ωt + π) and x_{4} = 2 \sin (ωt + \frac{3 π}{2}) \end{array}$
are superimposed on each other. The resulting amplitude is.... units.

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8√2

4√2

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detailed solution

Correct option is C

Ares =A1−A32+A2−A42

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Four simple harmonic vibrations x1=8sin⁡(ωt),x2=6sin⁡ωt+π2,x3=4sin⁡(ωt+π) and x4=2sin⁡ωt+3π2are superimposed on each other. The resulting amplitude is.... units.

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Ready to Test Your Skills?

free study material

Four simple harmonic vibrations
$\begin{array}{l} x_{1} = 8 \sin (ωt), x_{2} = 6 \sin (ωt + \frac{π}{2}), \\ x_{3} = 4 \sin (ωt + π) and x_{4} = 2 \sin (ωt + \frac{3 π}{2}) \end{array}$
are superimposed on each other. The resulting amplitude is.... units.