OCR PURE — Question 9 3 marks

Exam BoardOCR
ModulePURE
Marks3
PaperDownload PDF ↗
TopicForces, equilibrium and resultants
TypeEquilibrium of particle under coplanar forces
DifficultyModerate -0.8 This is a straightforward equilibrium problem requiring resolution of forces in two perpendicular directions. Students need only apply ΣFₓ=0 and ΣFᵧ=0 with given forces (likely including some at angles), then solve two simultaneous equations. This is a standard textbook exercise with no conceptual difficulty beyond basic mechanics principles, making it easier than average.
Spec3.03m Equilibrium: sum of resolved forces = 0
9 \includegraphics[max width=\textwidth, alt={}, center]{31b0d5b6-1593-489b-bbcd-486e7c96ff18-07_609_894_495_242} A body remains at rest when subjected to the horizontal and vertical forces shown in the diagram.
Determine the value of \(F _ { 1 }\) and the value of \(F _ { 2 }\).
Question 9:
AnswerMarks Guidance
AnswerMark Guidance
\(R(\uparrow): 3F_2 + 30 = F_1\)M1 Attempt to resolve vertically and horizontally with at least one correct equation seen
\(R(\rightarrow): 2F_1 + F_2 = 60 + 28\)A1 Both equations correct
\(F_1 = 42, F_2 = 4\)A1 BC
[3] 
## Question 9:

| Answer | Mark | Guidance |
|--------|------|----------|
| $R(\uparrow): 3F_2 + 30 = F_1$ | M1 | Attempt to resolve vertically and horizontally with at least one correct equation seen |
| $R(\rightarrow): 2F_1 + F_2 = 60 + 28$ | A1 | Both equations correct |
| $F_1 = 42, F_2 = 4$ | A1 | BC |
| **[3]** | | |

---
9\\
\includegraphics[max width=\textwidth, alt={}, center]{31b0d5b6-1593-489b-bbcd-486e7c96ff18-07_609_894_495_242}

A body remains at rest when subjected to the horizontal and vertical forces shown in the diagram.\\
Determine the value of $F _ { 1 }$ and the value of $F _ { 2 }$.

\hfill \mbox{\textit{OCR PURE  Q9 [3]}}
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