Question

Figure shows a thin uniform rod $50cm$ long and having a mass of $100g$. A hollow metal ball is filled with air and has a diameter $10cm$ and total mass $50g$ is fixed to one end of the rod. At what point along its length will the ball and rod balance horizontally?

Answer 1

$\Rightarrow$ Distance $oc=50+r$

$=50+5$

$=55$

Where c center of the hallow ball.

center of mass from point 0 is,

$\Rightarrow x=\frac{100\times 25+50\times 55}{150}$

$=\frac{2500+2750}{150}$

$=\frac{5250}{150}$

$=35cm$ from $0.$

Hence, solved.