A length of rope is wrapped around a spool of weight $W$ with inner radius $r$ and outer radius $R$ as shown above. The rope is pulled with a tension $T$ at an angle $.$ Which of the following conditions must be satisfied for the spool to slide uniformly without rolling?

$($A$)cos=\frac{r}{R}$

$($B$)sin=\frac{r}{R}$

$($C$)T=W$

$($D$)T=$Wsin$$

$($E$)t=$Wcos$$