A point mass is subjected to two simultaneous sinusoidal displacements in x-direction x1(t)=A sin ωt and x2(t)=Asin (ωt+2π3). Adding a third sinusoidal displacement x3(t)=B sin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are

A point mass is subjected to two simultaneous sinusoidal displacements

1.	A point mass is subjected to two simultaneous sinusoidal displacements in x-direction x1(t)=A sin ωt and x2(t)=Asin (ωt+2π3). Adding a third sinusoidal displacement x3(t)=B sin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are
Answer» A point mass is subjected to two simultaneous sinusoidal displacements in x-direction $x_{1} (t) = A s i n ω t$ and $x_{2} (t) = A s i n (ω t + \frac{2 π}{3})$ . Adding a third sinusoidal displacement $x_{3} (t) = B s i n (ω t + ϕ)$ brings the mass to a complete rest. The values of B and $ϕ$ are

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A point mass is subjected to two simultaneous sinusoidal displacements in x-direction x1(t)=A sin ωt and x2(t)=Asin (ωt+2π3). Adding a third sinusoidal displacement x3(t)=B sin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are

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