Question
Download Solution PDFIn the resolution of a force, along which of the following directions is a force generally resolved?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Principal of Resolution:
- It states, "The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction."
Resolution of a Force:
When a force is resolved into two mutually perpendicular directions, without changing its effect on the body, the parts along those directions are called resolved parts. And this process is called the Resolution of a force.
Horizontal component (∑H) = Pcosθ
Vertical component (∑V) = Psinθ
Horizontal component (∑H) = Psinθ
Vertical component (∑V) = Pcosθ
When a force is resolved along two mutually perpendicular directions, such as the x-axis and y-axis, the components can be determined using trigonometric functions. This method is both simple and effective because it leverages the orthogonality of the axes, ensuring that the components do not interfere with each other.
Last updated on Jul 2, 2025
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