Function `x=Asin^(2)omegat+Bcos^(2)omegat+Csinomegat cos omegat` represents simple harmonic motion,
A
The motion of particle is `SHM` when `A = B`
B
The motion of particle is `SHM` when `A = B` and `C = 0`
C
If `B = C/2=-A`, then the amplitude of `SHM` is `B//sqrt(2)`.
D
If `A=B =C/2`, then the axis of vibration of `SHM` shifts by a distance `B` towards `+x` axis.
Text Solution
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The correct Answer is:
ACD
If ` A = B` then `x = A + C sinomegat cosomegat = A + C/2 sin^(2)omegat rArr "SHM"` If `A = B` & `C = 0` then `x = A rArr ` along a straight line. If `B = C/2 = - A` then `x = B cos^(2)omegat + Bsin2omegat rArr "amplitude" = Bsqrt(2)` If `A = B= C/2` then `x = B + Bsin2omegat rArr` Axis of vibration of SHM shifts by a distance B towards `+ x-` axis.
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