Two small coins each of mass m kept symmetrically on a horizontal circular disc are connected with light string. Between each coin and disc, ${\mu }_s=0.8,{\mu }_k=\mathrm{0.7.}$  String is straight but tension is zero initially. Now the disc started to rotate with angular velocity $\omega$  about a fixed vertical axis passing through centre $\text{'}O\text{'}.$  Just after that, for different $\omega$  values given in column- 1 , correspond tensions developed in string are given in column -2 and frictions developed at each coin are given in column-3. Answer the following questions matching the given columns. All quantities in columns are in S.I. units. Assume that the coins do not skid on the disc, while the disc is acquiring angular velocity $\omega$  from rest. $\left(m=4kg,r=2m,g=10m/s^2\right).$    
 

	Column-1		Column-2		Column-3
I)	1	i)	128	P)	32
II)	2	ii)	32	Q)	8
III)	$\sqrt{4\sqrt{2}}$	iii)	0	R)	28
IV)	$\sqrt{16\sqrt{2}}$	iv)	64	S)	$32\sqrt{2}$