Calculate for the resultant of the force system, Mechanical Engineering

Assignment Help:

Calculate for the resultant of the force system:

A rectangle ABCD is having sides AB = CD = 80 mm and BC = DA = 60 mm. Forces of 150 N each of them act along AB and CD, and forces of 100 N each acting along the directions BC and DA. Calculate for the resultant of the force system.

1571_Calculate for the resultant of the force system.png

Sol.: Let R be the resultant of given system. And ∑H and ∑V be horizontal and vertical component of the resultant. And resultant makes θ angle with the horizontal.

Resolving all the forces horizontally

∑H = 150 - 150

∑H = 0KN                                                                                                         ...(i)

Resolving all the forces vertically

∑V = 100 - 100

∑V = 0KN                                                                                                        ...(ii)

Since ∑H and ∑V both are 0, then resultant of system is also zero.

But in Non concurrent forces system, the resultant of system can be a force, a couple or a force and a couple that is in this case if couple is not zero then couple is resultant of the force system.

MA = -150 × 60 - 100 × 80, both are anticlockwise

Then, Resultant moment = couple = -17000N-mm                                                      .......ANS

 


Related Discussions:- Calculate for the resultant of the force system

Parts of wilson hartnell governor, what are the parts of wilson hartnell go...

what are the parts of wilson hartnell governor with their designation?

Static Force Analysis, Link O4C of a 4-bar mechanism is subjected to a torq...

Link O4C of a 4-bar mechanism is subjected to a torque T4=1Nm[ccw]. The link BC is subjected to a force Q=45N @900 downwards. Determine the torque T2 on link O2B and the reactions

Flange assembly, The assembly techniques of bolted connections and bolts an...

The assembly techniques of bolted connections and bolts and gaskets material selection are closely interrelated. Consequently, they must be treated as an integrated problem.

Explain concept of counter bore in radial drilling machine, Explain concept...

Explain concept of Counter Bore and countersink in radial drilling machine Counter Bore :- This operation uses a pilot to guide the cutting action to accommodate the heads

Estimate the cutting time, Estimate the Cutting Time A surface 115 mm ...

Estimate the Cutting Time A surface 115 mm wide and 250 mm long is to be rough milled with a depth of cut of 6 mm by a 16-tooth cemented carbide face mill 150 mm in diameter.

Metallurgical defects-gas porosity, Gas Porosity Porosity is the...

Gas Porosity Porosity is the presence of gas pockets or voids caused by the entrapment of gas evolved during weld metal solidification. This Porosity is caused due to im

Light, what are the anti refection coating.expretion for thicknessrefractiv...

what are the anti refection coating.expretion for thicknessrefractive index of coating material to act as anti reflacting coating

Physics, State and explain parallelogram law of vectors

State and explain parallelogram law of vectors

Gears, what is the practical application of worm and worm gear

what is the practical application of worm and worm gear

Governor, where expendable pattern is used?

where expendable pattern is used?

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