1. **State the problem:**
Draw a triangle of forces representing the tensions $T_M$ and $T_N$ and the weight $W$ acting on the body.
2. **Recall the forces:**
- Weight $W = 80$ N acting vertically downward.
- Tensions $T_M \approx 84$ N and $T_N \approx 76$ N acting along the strings inclined at $55^\circ$ and $65^\circ$ to the downward vertical.
3. **Triangle of forces principle:**
The three forces acting on the body are in equilibrium, so they form a closed triangle when placed head to tail.
4. **Construct the triangle:**
- Draw $W$ vertically downward.
- From the head of $W$, draw $T_M$ at $55^\circ$ to the vertical upward direction.
- From the head of $T_M$, draw $T_N$ at $65^\circ$ to the vertical upward direction, closing the triangle back to the tail of $W$.
5. **Label the sides:**
- Side opposite to angle $55^\circ$ corresponds to $T_N$.
- Side opposite to angle $65^\circ$ corresponds to $T_M$.
- Side opposite to the angle between $T_M$ and $T_N$ corresponds to $W$.
This triangle visually confirms the equilibrium of forces acting on the body.
Triangle Forces 1Ab239
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.