A bar with uniform density has a weight of $200\,\text{N}$ and a length of $4.0\,\text{m}$. It is hinged freely to a wall at one end. The bar remains horizontal and in equilibrium because of a cable fixed at a point $0.50\,\text{m}$ from the far end. The cable makes an angle of $35^\circ$ to the horizontal. Determine the tension $T$ in the cable.
- A$140\,\text{N}$
- B$170\,\text{N}$
- C$200\,\text{N}$
- D$400\,\text{N}$