Replace the two parallel forces by single force, Mechanical Engineering

Assignment Help:

Replace the two parallel forces by single force:

Replace the two parallel forces acting on the control lever by a single equivalent force R.

 

Sol.: Since single equivalent force is resultant.

 

2015_Replace the two parallel forces by single force.png

Let ΣH and ΣV be the horizontal and vertical component of the resultant. Resolving all the forces in horizontal direction

ΣH = 50 - 80 = -30N                           ...(i)

As there is no vertical force that is the resultant is horizontal. Now for finding out point of application of resultant, Let resultant is at distance of 'd' from the point 'O'. Apply varignon's theorem, and by taking moment about point 'O'

R.d = 50 × 80 - 80 × 50  = 0

But     ΣR = ΣH = -30N, so d = 0

d = 0, means point of application of the resultant is 'O'

Therefore an equivalent force 30N acts in negative x-axis at point 'O' which replaces the given force system.

 


Related Discussions:- Replace the two parallel forces by single force

Show the geometric similarity, Q. Show the Geometric Similarity? When m...

Q. Show the Geometric Similarity? When model is required to provide an aid merely for visualisation, scaler reproduction of form is sufficient which is termed Geometric Similar

FLUID MECHANICS, A mix of spherical particles of different sizes is to be s...

A mix of spherical particles of different sizes is to be separatedinto two size ranges by passing a liquid of density 1200 kg m-3 and viscosity 0.0015 Pa s upward through the mixtu

Find the machine fraction for machine operation, 1.Two machining operations...

1.Two machining operations, A (3 minutes per part) and B (10 minutes per part), are performed sequentially to manufacture a part. Machines A and B produce 5% and 6% defective items

Two stroke and four stroke engines, T w o Stroke and Four Stroke Engines:...

T w o Stroke and Four Stroke Engines: In  the two stroke engines thermodynamic cycle is completed in One revolution of crank shaft whereas in 4 stroke engines the cycle is c

Weld preparation-joint tolerance-cleaning, WELD PREPARATION: Joint Toleranc...

WELD PREPARATION: Joint Tolerance & Cleaning   Joint Tolerance The allowable tolerance of joint dimensions depends upon whether the welding is to be done manually or

Maintenance operations, Maintenance Operations: The maintenance opera...

Maintenance Operations: The maintenance operations cover various activities such as: (a) making good rain cuts in embankment, (b) clearing the side ditches of vegetatio

What are the limitations with rectangular combined footings, What are the l...

What are the limitations with rectangular combined footings? In this section the analysis is limited to the determination of plan dimensions of the footing. The physical dimens

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