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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

11 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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we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE preparation. All the best.

Regards,
Naga Ramesh
IIT Kgp - 2005 batch
 

11 years ago
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