InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
when two displacements represented by `y_(1) = a sin(omega t)` and `y_(2) = b cos (omega t)` are superimposed the motion isA. Not a simple harmonicB. simple harmonic with amplitude`(a)/(b)`C. simple harmonic with amplitude`sqrt((a)^(2) +(b)^(2))`D. simple harmonic with amplitude`((a+b))/(2)`` |
|
Answer» Correct Answer - C The two displacement equation are `y_(1) = a sin(omega t)` ltbrtgt and `y_(2) = b cos(omega t) = b(omega t + (pi)/(2))` `y_(eq) = y_(1) + y_(2)` `= a sin omega t + b cos omega t` `= a sin omega t + b sin(omega t + (pi)/(2))` Since the frequency for both `SHM` are same resultant motion will be `SHM` Now `A_(eq) = sqrt(a^(2) +b^(2) + 2ab cos (pi)/(2))` `rArr sqrt(a^(2) +b^(2))` |
|