A point mass is subjected to two simultaneous sinusoidal displacement in x-direction, `x_(1)(t)=Asinomegat` and `x_(2)(t)=Asin(omegat+2pi//3)`. Adding a third sinusoidal displacement `x_(3)(t)=Bsin(omegat+phi)` brings the mass to a complete rest. The values of B and `phi` are :

A point mass is subjected to two simultaneous sinusoidal displacement in x- direction, x_(1)(t) = A sin omegat and x_(2)(t) = A sin(omega + (2pi)/(3)) . Adding a third sinusoidal displacement x_(3)(t) = B sin (omegat + phi) brings the mass to complete rest. The value of B and phi are

A point mass is subjected to two simultaneous sinusoidal displacements in x - direction, x_1 (t) = A sin (omega)t and x_2 (t) = A sin ((omega t + (2 pi)/(3)) . Adding a third sinusoidal displacement x _3 (t) = B sin (omega t + phi) brings the mas to a complete rest. The values of (B) and (phi) are.

x and y displacements of a particle are given as x(t)=-asinomegat and y(t)=asin2omegat . Its trajectory will look like.

x_(1)=A sin (omegat-0.1x) and x_(2)=A sin (omegat-0.1 x-(phi)/2) Resultant amplitude of combined wave is

A particle is subjected to two simple harmonic motions x_1=A_1 sinomegat and x_2=A_2sin(omegat+pi/3) Find a the displacement at t=0, b. the maxmum speed of the particle and c. the maximum acceleration of the particle

Four simple harmonic vibrations x_(1) = 8s "in" (omegat), x_(2) = 6 sin (omegat +(pi)/(2)) , x_(3) = 4 sin (omegat +pi) and x_(4) =2 sin (omegat +(3pi)/(2)) are superimposed on each other. The resulting amplitude is……units.

A particle is subjected to two simple harmonic motions. x_(1) = 4.0 sin (100pi t) and x_(2) = 3.0 sin(100pi t + (pi)/(3)) Find (a) the displacement at t = 0 (b) the maximum speed of the particle and (c ) the maximum acceleration of the particle.

Four simple harmonic motions , c_(1)=8sinomegat,x_(2)=6sin(omegat=pi//2) , x_(3)=4sin(omegat+pi) and x_(4)=2sin (omegat+3pi//2) are superimposed on each other. The resuslting amplitude and its phase difference with x_(1) are respectively