Two weights are connected by a very light cord that passes over an 80.0Nfrictionless pulley of radius 0.300m. The pulley is a solid uniform disk and is supported by a hook connected to the ceiling. What force does the ceiling exert on the hook

The force does the ceiling exert on the hook is 269.59 N

Explanation:

Applying the second Newton law:

F = m*a

From the attached diagram, the net force in object 1 is:

In object 2:

Adding the two equations:

 (eq. 1)

The torque:

Where

I = moment of inertia

α = angular acceleration

If the linear acceleration is

Torque due the tension is equal:

Substituting torque, mass, in equation 1, the expression respect the acceleration is:

Where

W₁ = 75 N

W₂ = 125 N

W = 80 N

The net force is: