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 bolt material, Q. Show Bolt Material? Bolt material must be select...

Q. Show Bolt Material? Bolt material must be selected with adequate yield strength at the operating temperature to provide the required strength to properly seat the gasket. It

Calculate the reactive power and current supplied, Question: A series r...

Question: A series resistive inductive load is energised from a 240V (RMS), 50Hz single phase AC supply, such that the load draws 1200W at a power factor of 0.8. a) Calculat

Determine period of motion and frequency, (a) Illustrate Fourier Series and...

(a) Illustrate Fourier Series and calculate the constant coefficients. (b) A Harmonic motion is provided by x(t) = 10sin(30t -π/3) where t in seconds and phase angle in radians.

Beam and types of beam - support reaction, Beam: Sol.: A beam can be...

Beam: Sol.: A beam can be defined as a structural element which has one dimension (length) considerable larger As compared to the other two direction, which is breadth an

Objectives-object-oriented control architecture , Objectives After stud...

Objectives After studying this section, you should be capable to understand: Cell control and modeling, Context level data flow diagram, A common cell control sy

Locomotive boiler, advantages and disadvantages of locomotive boiler

advantages and disadvantages of locomotive boiler

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