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. This is known as ___

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RRB JE ME CBT 2 Previous Paper 1: Held on 29 Aug 2019

Answer 1

Explanation:

Principle of resolution of forces:

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.

Method for the resolution for the resultant force:

Resolve all the forces horizontally and find the algebraic sum of the horizontal components.
Resolve all the forces vertically and find the algebraic sum of the vertical components.

The resultant of the above both can be given below as,

\(R = \sqrt {{{\left( {\sum H} \right)}^2} + {{\left( {\sum V} \right)}^2}} \)

The resultant force will make an angle with the horizontal can be given as,

\(tan\theta = \frac{{\sum V}}{{\sum H}}\)

Principle of Transmissibility:

According to it if we transmit a force in its line of action without changing its magnitude and direction then there will not be a change in the effect of a force.

Principle of Independence of force:

It is defined as vertical motion does not affect by the movement of horizontal motion.