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)=Bsin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are - VgyanHub

Question:

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)=Bsin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are

Options :

(a) √2A,3π/4
(b) A,4π/3
(c) √3A,5π/6
(d) A,π/3

Answer :

(b) A,4π/3

Answer Steps :

step 1

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