A sailing boat has a mast and a boom as two of its parts. The mast is a vertical rigid beam, while the boom is a horizontal rigid beam. One end of the boom is joined to the mast with a pivot. The opposite end of the boom is linked to the mast by a rope, as shown. The rope makes an angle of $40^{\circ}$ to the horizontal and applies a tension force $T$ on the boom. The boom has a weight of $200\,\text{N}$. Its mass is evenly spread along its length. The boom is in equilibrium. What is the magnitude of $T$?
- A$130\,\text{N}$
- B$160\,\text{N}$
- C$260\,\text{N}$
- D$310\,\text{N}$