Saturday, January 3, 2009

Objective


    : To determine the centre of gravity of a connecting rod, as well as the

                           Radius of gyration about the centre of gravity.

Theory            

:  Moment at O:

 

 

 

 

 

 Clockwise order

                                                \           If  is smaller

                           By using the Newton’s Law for the circulation:

 

                            

                         

                        

                         

 

You may observe that this equation will be same as the general equation which is “Simple Harmonic Motion”. Therefore, we can obtain the frequency by using this system as followed below:-

 

             

                         

            Mean while, the periodic time (T) is been taken to complete a swinging, therefore:-

                       Seconds

           

 

 

 

For the rigid body, moment of inertia at point O is:

 

              Where  is the moment of inertia at centre of gravity.

       Where  is the radius of gyration at centre of gravity.

 

We could obtain the radius of gyration of any rigid body with this equation.

 

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