Moderate -0.3 This is a standard two-rope equilibrium problem requiring resolution of forces in two directions and solving simultaneous equations. While it involves trigonometry and careful angle work, it's a routine mechanics exercise with a well-established method (resolve horizontally and vertically, solve for two unknowns). Slightly easier than average due to being a straightforward application of equilibrium principles without any conceptual complications.
2
\includegraphics[max width=\textwidth, alt={}, center]{94c11160-a718-4de5-867a-27c755051fa6-2_342_629_616_756}
The diagram shows a small object \(P\) of mass 20 kg held in equilibrium by light ropes attached to fixed points \(A\) and \(B\). The rope \(P A\) is inclined at an angle of \(50 ^ { \circ }\) above the horizontal, the rope \(P B\) is inclined at an angle of \(10 ^ { \circ }\) below the horizontal, and both ropes are in the same vertical plane. Find the tension in the rope \(P A\) and the tension in the rope \(P B\).
2\\
\includegraphics[max width=\textwidth, alt={}, center]{94c11160-a718-4de5-867a-27c755051fa6-2_342_629_616_756}
The diagram shows a small object $P$ of mass 20 kg held in equilibrium by light ropes attached to fixed points $A$ and $B$. The rope $P A$ is inclined at an angle of $50 ^ { \circ }$ above the horizontal, the rope $P B$ is inclined at an angle of $10 ^ { \circ }$ below the horizontal, and both ropes are in the same vertical plane. Find the tension in the rope $P A$ and the tension in the rope $P B$.
\hfill \mbox{\textit{CAIE M1 2016 Q2 [5]}}