Physics

A metre scale weighs $$50$$ grams and carries $$20$$ grams at one end, the scale balances when it is suspended at a distance x from other endpoints. Then $$x$$ is equal to?


ANSWER

$$64.3 cm$$


SOLUTION
Given,

Length of the scale$$=1m$$

Now, lets suppose origin at the other end wrt 20g end, and rod to be lied in x-axis

Then,

$$x_{com}=\dfrac{50\times 0.5+20\times 1}{50+20}$$

$$x_{com}=\dfrac{45}{70}m$$

$$x_{com}=\dfrac{450}{7}cm=64.3\ cm$$

Option $$\textbf B$$ is the correct answer
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