Question

Locate the centre of mass of arrangement shown in fig.

Answer 1

where is the figure

Answer 2

Image

Answer:

To find location CM. Replace the rods at their CM

 ${ x }_{ cm }\quad =\quad \quad \frac { \left\{ m\frac { L }{ 2 } +m\left( 0 \right) +m\frac { L }{ 2 } \right\} }{ 3m } \quad =\quad \frac { L }{ 3 } \quad$

  ${ y }_{ cm }\quad =\quad \quad \frac { \quad \left\{ m\left( 0 \right) +m\left( \frac { L }{ 2 } \right) +m\left( L \right) \right\} }{ 3m } =\quad \frac { L }{ 2 }$

CM of three rods is at $(\frac { L }{ 3 } ,\frac { L }{ 2 } )$

$(\frac { L }{ 3 } ,\frac { L }{ 2 } )$ are the coordinates of the centre of mass