If a force of magnitude 8 N acts on a body in direction making an angle 30, its x and y components will be:
Correct answer: C. Fx = 4√3 and Fy = 4
- A. Fx = 4√3 and Fy = 8
- B. Fx = 8 and Fy = 4√3
- C. Fx = 4√3 and Fy = 4
- D. Fx = 8√3 and Fy = 4
Explanation
The x and y components of a force vector can be found using trigonometric functions: the x-component is given by Fx = F cosθ, and the y-component is given by Fy = F sinθ. For a force of 8 N at an angle of 30°, you calculate:Fx = 8 cos(30°) = 8 × (√3/2) = 4√3Fy = 8 sin(30°) = 8 × (1/2) = 4Thus, the correct components are Fx = 4√3 and Fy = 4. The other options either misuse the angle in calculations or incorrectly apply the trigonometric functions.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Rectangular Components
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
Practise Vectors and Equilibrium
431 free Vectors and Equilibrium MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Rectangular Components questions
In a Cartesian Coordinate System, the points (- 6, - 8) lies in the
In a Cartesian plane, the x-axis is called
If the components AX and Ay of vector A are negative and positive respectively, then vector A lies in
If A = 2i+j+2k then its magnitude is:
The angle subtended by a vector A = i - j with the x-axis is:
The component of a vector (i + j) along (i - j) is: