Two point masses of 0.3 kg and 0.7 | vedclass

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Question

$Work-energy$ theorem, $\quad W_{	ext {all forces }}=\frac{1}{2} I w^{2}$

Given$:$ $w$ is constant

So required work done to be minimum implies

Vedclass · Accepted Answer

$0.98\ m$  from mass of $0.3\ kg$

Vedclass · Answer

$Work-energy$ theorem, $\quad W_{	ext {all forces }}=\frac{1}{2} I w^{2}$

Given$:$ $w$ is constant

So required work done to be minimum implies that $I$ must be minimum.

Let the rotational axis passes through O. $I=0.3\left(x^{2}ight)+0.7(1.4-x)^{2}$

For $I$ to be minimum, $\quad \frac{d I}{d x}=0$

$\Longrightarrow 0.3 	imes 2(x)-0.7 	imes 2(1.4-x)=0$

$\Longrightarrow x=0.98 m$

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