Two transmission belts pass over a double$-$sheaved pulley that is attached to an axle supported by bearings at A and $D.$ The radius of

the inner sheave is $125$ mm and the radius of the outer sheave is $250$ mm $.$ Knowing that when the system is at rest, the tension is $104$

N in both portions of belt $B$ and $164$ N in both portions of belt $C,$ determine the reactions at A and $D.$ Assume that the bearing at $D$

The reaction at $A$ is $($

$N$

The reaction at $D$ is $($

$N$

N$)$k$.$

N$)$k$.$