The smooth disks D and E have a weight of 200 lb and 100 lb, respectively. If a horizontal...

Consider , , and to be the reaction forces at , , and respectively.

Calculate the angle .

Calculate the horizontal distance between the two circle centers by using Pythagoras theorem.

Consider the force equilibrium equation in the direction.

Here, is the applied force.

Substitute for .

Therefore, the normal reaction at is .

Consider the force equilibrium equation in the direction.

Here, and are the weights of the disks and respectively.

Substitute for , for , and for .

…… (1)

Consider the moments about point .

Substitute for , for , for , and for .

Therefore, the normal reaction at is .

Therefore, the normal reaction at is .