A 100kg cylinder is supported by two cables, AC and BC, as shown in the figure.

A force P = 200N is applied in the y direction and a force Q is applied along the x direction.

Calculate the forces in the cables and the magnitude of force Q so that the system is in equilibrium.

Show all your work, including a Free Body Diagram to receive full points.

X

1.5 m

0.5 m

A

Z

O

B

C

P

4 m

1 m

2 m

y