GATE CE 2016 Set 1 — Question 39
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumResultant of ForcesStatics & Rigid BodiesStructural Engineering
Structural Engineering → Statics & Rigid Bodies → Resultant of Forces
Last updated
Question
The magnitudes of vectors P, Q and R are kN, kN and kN, respectively as shown in the figure.
The respective values of the magnitude (in kN) and the direction (with respect to the -axis) of the resultant vector are
Correct answer
(C) 330.4 and 118.9^
Solution
To find the resultant vector, we resolve each vector into its and components based on the angles provided in the figure.
kNDirection of Resultant:
Thus, the magnitude is approximately kN and the direction is . Correct option is (C).
1.Vector P: Magnitude kN, Angle with the -axis.
- kN
- kN
- kN
- kN
- kN
- kN
- kN
- kN
kNDirection of Resultant:
Thus, the magnitude is approximately kN and the direction is . Correct option is (C).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Statics & Rigid Bodies
2026 Set 1 Q13A thin-walled spherical gas balloon of radius and wall thickness () is subjected…2026 Set 2 Q14A rectangular singly reinforced concrete beam has a width of 300 mm and an effective depth of 550…2026 Set 1 Q14Black dot shown in the figure qualitatively represents the shear centre of the angle section. The…2026 Set 2 Q15As per IS:800-2007, design of a cantilever steel beam section for its moment capacity requires…2026 Set 1 Q15Which one of the following is utilized to determine the long-term deformation of concrete under…