Home
Class 12
PHYSICS
A point mass is subjected to two simult...

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

`sqrt2A,(3pi)/4`

B

`A,(4pi)/3`

C

`sqrt3A,(5pi)/6`

D

`A,pi/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

when two displacements represented by y_(1) = a sin(omega t) and y_(2) = b cos (omega t) are superimposed the motion is

The displacement of the interfaring light waves are y_1 =4 sin omega t and y_2=3sin (omegat +(pi)/( 2)) What is the amplitude of the resultant wave?

Find the amplitude of the resultant wave produced due to interference of two waves given as, y_1 =A_1 sin (omega)t y_2 = A_2 sin [ (omega)t + (phi) ]

The amplitude of a wave represented by displacement equation y=(1)/(sqrt(a)) sin omega t +-(1)/(sqrt(b)) cos omega t will be

Two simple harmonic motions are given by y_(1) = a sin [((pi)/(2))t + phi] and y_(2) = b sin [((2pi)/( 3))t + phi] . The phase difference between these after 1 s is

The path difference between the two waves y_(1)=a_(1) sin(omega t-(2pi x)/(lambda)) and y(2)=a_(2) cos(omega t-(2pi x)/(lambda)+phi) is

If two waves x_1 =A sin (omegat -0.1 x ) and x_2 A sin (omegat -0.1x -phi //2 ) are combined with each other ,then resultant amplitude of the combined waves is

Which two of the following waves are in the same phase? y= A sin (kx -omega t ) y=A sin (kx -omega t+pi ) y= A sin (kx -omegat+ pi //2) y=A sin (kx -omega t +2pi )

The displacement of a particle along the x-axis is given by x = a sin^(2) omega t . The motion of the particle corresponds to