The Sum of 2 forces acting at a point is 16N. If the resultant force is 8N and its direction is perpendicular to minimum force, then the force is:
Correct answer: A. 6N and 10N
- A. 6N and 10N
- B. 8N and 8N
- C. 4N and 12N
- D. None of them
Explanation
Correct option is A)A+B=16...(1)Tanα = Bsinθ/A+Bcosθ = tan90Thus, A+Bcosθ = 0 ⇒cosθ = − A/B ...(2)We also have: 8= √A^2 +B^2 +2ABcosθ ...(3)Solving these we get, A=6N and B=10NAs it is numerical, it can have only one possible answer.
This question appeared on the ETEA MDCAT 2017 paper, which you can sit online with every answer explained.
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Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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