A flexible rope is in the shape of a semicircle \mathrm{ACB}ACB with its centre at \mathrm{O}O. Ends \mathrm{A}A and \mathrm{B}B are fixed. Radius of the semicircle is \mathrm{R}R. The midpoint \mathrm{C}C is pulled so that the rope acquires \mathrm{V}V shapes as shown in the figure. Find the shift in osition of centre of mass (Take) \left(\sqrt{\pi^{2}-4}=2.42, \frac{2}{\pi}=0.636\right)(
π
2
−4
=2.42,
π
2
=0.636)
