Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.

A ruler with variable mass density (again)

A ruler is exactly L inches long. It has a linear mass density which increases from one end of the ruler to the other:



    lambda(x)  =    a  +  b*x         

             where   "x"    is the distance from left end in inches



        Q:  What are the units of   a ?


        Q:  What are the units of   b ?

The answers



  Q:  What is the mass of the little piece shown?


  Q:  What is the total mass of this ruler?


The answers





  Q:  What is the contribution of this little piece
          to the equation for center of mass?


  Q:  What is the location of the center
        of mass of the ruler in the horizontal direction?


The answers

Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.