Physics 1 Marks Question

$\text{F}=\text{mg}\sin\theta=\text{mg}\theta=\frac{\text{mgx}}{\text{l}}$ 

1. At extreme position (x = A)
2. At mean position (x = 0)
3. $\frac{1}{2}\text{m}\omega^2(\text{A}^2-\text{x}^2)=\frac{1}{4}\times\frac{1}{2}\text{m}\omega^2\text{A}^2$

$\Rightarrow\text{x}=\frac{\sqrt{3}\text{A}}{2}$

4. $\frac{1}{2}\text{m}\omega^2(\text{A}^2-\text{x}^2)=\frac{1}{2}\text{m}\omega^2\text{A}^2$

$\Rightarrow\text{x}=\frac{\text{A}}{\sqrt{2}}$