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  #1  
March 25th, 2017, 04:30 PM
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Iit jee shm

Hi I am interested in having the information about Simple Harmonic Motion topic for the IIT Joint Entrance Examination?
  #2  
March 26th, 2017, 08:36 AM
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Join Date: Mar 2012
Re: Iit jee shm

SHM is a specific sort of movement extremely basic in nature.

In SHM compel following up on the molecule is constantly coordinated towards a settled point known as harmony position and the size of constrain is straightforwardly corresponding to the removal of molecule from the balance position and is given by

F= - kx

where k is the drive steady and negative sign demonstrates that fforce contradicts increment in x.

This drive os known as reestablishing power which takes the molecule back towards the harmony position , and contradicts increment in uprooting.

S.I. unit of constrain consistent k is N/m and extent of k relies on upon flexible properties of framework under thought.

For understanding the way of SHM consider a square of mass m whose one end is appended to a spring and another end is held stationary and this piece is set on a smooth even surface appeared beneath in the figure.



Movement of the body can be portrayed with arrange x taking x=0 i.e. root as the balance positionwhere the spring is neither extended or packed.

Now take the piece from it's harmony position to a point P by extending the spring by a separation OP=A and will then discharge it.

After we discharge the piece at point P, the reestablishing power follows up on the square towards harmony position O and the piece is then quickened from point P towards point O as appeared beneath in the figure.



Presently at balance position this reestablishing power would get to be distinctly zero however the speed of square increments as it spans from guide P toward O.

At the point when the square achieves point O it's speed would be most extreme and it then begins to move towards left of harmony position O.

Presently this time while setting off to one side of harmony position spring is compacted and the square moves to the point Q where it's speed gets to be distinctly zero.

The packed spring now pushes the piece towards the privilege of balance position where it's speed increments upto guide O and abatements toward zero when it achieves point P.

Thusly the square sways back and forth on the frictionless surface between focuses P and Q.

In the event that the separation went on both sides of harmony position are equivalent i.e. , OP=OQ then the greatest relocation on either sides of balance are known as the Amplitude of motions.


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