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saurabh hathia Grade: Upto college level
        if amplitude of shm is doubled wat is its effect on 1-freq 2-phase const 3-max speed 4-max acceleration 5-max energy
8 years ago

Answers : (1)

Ramesh V
70 Points
										

let shm eqn be:                                            x = A sin ( wt + β)


                            case 1:                                                                              case 2:


                       x = A sin ( wt + β)                                                          x' = 2A sin ( wt + β)


velocity :       v = Aw cos ( wt + β)                                                       v' = 2Aw cos ( wt + β)


max. speed: vmax = Aw                                                                     v'max = 2Aw


for phase:   v = Aw sin ( wt + β +Pi/2 )                                             v' = 2Aw sin ( wt + β + Pi/2 )


Acceleration : a = -Aw2 sin( wt + β)                                                 a' = -2Aw2 sin( wt + β)


energy proportional to:    A2                                                                      (2A)2 = 4A2


so on doubling amplitude:          frequency remains same


                                                          phase does not change


                                                          max. speed doubles


                                                          accln doubles


                                                          energy quadraples


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Naga Ramesh

IIT Kgp - 2005 batch

 

8 years ago
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