Subjects physics

Triangle Forces 1Ab239

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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.