চারটি সরল হারমোনিক গতি, c_(1)=8sinomegat,x_(2)=6sin(omegat=pi//2), x_(3)=4sin(omegat+pi) ...

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

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.

Four simple harmonic vibrations y_(1)=8 sin omega t , y_(2)= 6 sin (omega t+pi//2) , y_(3)=4 sin (omega t+pi) , y_(4)=2sin(omegat+3pi//2) are susperimposed on each other. The resulting amplitude and phase are respectively.

Find the displacement equation of the simple harmonic motion obtained by conbining the motions. x_(1)=2 "sin "omegat,x_(2)=4 "sin "(omegat+(pi)/(6)) and x_(3)=6 "sin" (omegat+(pi)/(3))

Using graphical means find an amplitude a of oscillations resulting from the superposition of the following oscillations of the same direction : (a) x_(1)=3.0 cos (omegat+pi//3), x_(2)=8.0 sin (omega t+ pi//6), (b) x_(1)=3.0 cos omegat, x_(2)=5.0 cos (omegat+pi//4), x_(3)=6.0 sin omegat.

For simple harmonic vibrations y_(1)=8cos omegat y_(2)=4 cos (omegat+(pi)/(2)) y_(3)=2cos (omegat+pi) y_(4)=cos(omegat+(3pi)/(2)) are superimposed on one another. The resulting amplitude and phase are respectively

The instantaneous voltages at three terminals marked X, Y and Z are given by V_(X)=V_(0)sin omegat, V_(Y)=V_(0)sin (omegat=(2pi)/(3))and V_(z)=V_(0)sin (omegat=(4pi)/(3)) An ideal voltmeter is configured to read runs value of the potential difference between its terminals. is connected between points X and Y and then between Y and Z. The reading the voltmeter will be

Four simple harmonic vibrations x_(1) = 8sinepsilont , x_(2) = 6sin(epsilont+pi/2) , x_(3)=4sin(epsilont_pi) and x_(4) = 2sin(epsilon+(3pi)/2) are superimposed on each other. The resulting amplitude and its phase difference with x_(1) are respectively.

Four independent waves are expressed as y_(1)=a_(1)sinomegat." "y_(2)=a_(2)sin2omegat , y_(3)=a_(3)cosomegat," "y_(4)=a_(4)sin(omegat+pi//3) . A steady interference patternn cann be otained by using