Diagram for Motion of Simple Pendulum as S.H.M.- Smarter Techniques

 

How to draw Vector Diagram for Motion of Simple Pendulum as a Simple Harmonic Motion ? -Smarter Techniques

    Simple pendulum is a heavy particle tied at free end of  long  suspended  string at support. But in practice instead of heavy particle heavy bob is attached.  The length of pendulum is the distance between point of support and center of bob.  The bob oscillates and performs  Simple Harmonic Motion ( S.H.M. ). Fig A represents oscillating simple pendulum.

Fig A

Consider bob of mass m is attached to string of length L and is oscillating between A and C. Let the pendulum be at an angle Ө from vertical.

   The weight mg  is   resolved into two components mgcosӨ as ǁ component  and mgsinӨ as ⏊ component.

mgcosӨ is balanced by  tension in sting  and mgsinӨ acts  as restoring force to bring bob to  mean  position B.

AS Ө is small , sinӨ = Ө = x/ l.

Restoring force F = -mgx / l,

∴  F  ⍺ - x

Restoring force is directly  proportional to Displacement and apposite to it.

This is Simple Harmonic Motion  of simple pendulum.

Thus motion of Simple Pendulum  is linear Simple Harmonic Motion.

How to Draw Diagrams in Physics  by Smarter Techniques ,

 I have already discussed about general guide lines to draw diagrams on A4 sheet in previous article.

So do you want to know    ' How to draw Vector Diagram for Motion of Simple Pendulum as a Simple Harmonic Motion ' using given guide lines .

Let us learn  with the help of following video the actual smarter method of drawing the diagram.