Resultant of coplanar concurrent force system, Mechanical Engineering

Resultant of coplanar concurrent force system:

The resultant force, of given system of forces can be found out by the resolution method, which is discussed below:

Assume the forces be P1P2P3P4, and P5 acting at 'o'. Let OX and OY be the two perpendicular directions. Let the forces subtend angle a1, a2, a3, a4, and a5 with Ox respectively. Let R be the resultant and inclined at the angle with OX.

Resolved part of 'R' along OX = Sum of the resolved parts of P1, P2, P3, P4, P5 along OX.

16_Resultant of coplanar concurrent force system.png

That is

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

(which is ∑H)

1683_Resultant of coplanar concurrent force system1.png 

Resolve all the forces in vertical direction and find the algebraic sum of all the vertical components (that is, ∑V)

1808_Resultant of coplanar concurrent force system2.png 

The resultant R of given forces can be given by equation:

769_Resultant of coplanar concurrent force system3.png  407_Resultant of coplanar concurrent force system4.png 

And the resultant force will be inclined at the angle 'θ' with the horizontal, so that

                                                               tanθ = ∑V/∑H 

 

Posted Date: 10/16/2012 1:42:26 AM | Location : United States







Related Discussions:- Resultant of coplanar concurrent force system, Assignment Help, Ask Question on Resultant of coplanar concurrent force system, Get Answer, Expert's Help, Resultant of coplanar concurrent force system Discussions

Write discussion on Resultant of coplanar concurrent force system
Your posts are moderated
Related Questions
Q. Show the corrosion mechanisms? The following corrosion mechanisms are likely to happen in the Oil Treating Unit: Under Deposit Corrosion and MIC Since cooling e

Primitive Instancing In primitive instancing, the modeling system defines a set of primitive 3D solid shapes that are relevant to the application area. Primitive instances are

methods involved in grouping the parts into families?

Goods Market and the IS Curve The IS curve shows the combinations of interest rates and levels of output such that planned spending equals income. In order to derive the IS cur


1.Calculate the heat-removal factor for a collector having an overall heat-losscoefficient of 6 W/m2K and constructed of aluminum fins and tubes. Tube-to-tube centered distance is

why the pressure will reduce when the velocity increases


Pure Torsion: What do you mean by pure Torsion?                                                                                                       In general two typ

Explain modified Rankine cycle in detail with T-S and p-v diagrams. Explain Carnot cycle in detail with P-V and T-S diagram, and also write down expression for work ratio, therm