Resultant of coplanar concurrent force system, Mechanical Engineering

Assignment Help:

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 

 


Related Discussions:- Resultant of coplanar concurrent force system

Shear stress, write the assumption made in derivetion of shear stress produ...

write the assumption made in derivetion of shear stress produced in circular shaft subjected to torsion

Can you explain pattern allowances, Q. Can you explain Pattern Allowances? ...

Q. Can you explain Pattern Allowances? The difference in the dimensions of the casting and the patterns is due to the various allowances considered while designing a pattern fo

Venturi tube-main components of a carburettor , Venturi Tube: A ventu...

Venturi Tube: A venturi is basically an air passage that has a shape similar to that shown in Figure that is narrower at the middle known as venturi tube. As air travels thro

Determine the bending stress, The cantilevered beam made from the Z section...

The cantilevered beam made from the Z section is subjected to the two loadings as shown. (a)  Determine and show the orientation of the neutral axis on the cross section (angle

Material utilized for composites, Material Utilized For Composites Comp...

Material Utilized For Composites Composite presents a very broad range. From usual reinforced concrete to metal- metal fibre composites of high strength are in employ. The stre

Mechanotechnics, list 5 important factors in the design of a workshops layo...

list 5 important factors in the design of a workshops layout

Biaxial tension-compression state, Given:  A brittle material has an ulti...

Given:  A brittle material has an ultimate tensile strength of 300 MPa and an ultimate compressive strength of  -1000MPa.  Assume that failure can be represented by the Modified

Determine the machine working, Determine the theoretical COP for a CO 2 ma...

Determine the theoretical COP for a CO 2 machine working between the temperature range of 25 O C and -5 O C. the dryness fraction of CO 2 gas during the suction stroke is 0.6. fo

Find minimum time for a vehicle to go from 0 to 60 mph, For a few of the fo...

For a few of the following problems the constant acceleration is due to gravity and will be notated as a = g = 32 ft/sec 2 . 'g' perhaps positive or negative depending on the conte

Find the stresses by finite method, The stepped bar in Fig Q6 is stretched ...

The stepped bar in Fig Q6 is stretched along the vertical axis and the maximum upward displacement is found to be 0.008 m. The bar has cross-sectional areas of A 1 and A 2 ov

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd