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

Define the isolated and combined footings, Isolated and Combined Footings ...

Isolated and Combined Footings Individual columns are generally supported on isolated footings. A typical isolated footing is shown in Figure. This arrangement is suitable when

Example of equilibrium - mechanics, Example of Equilibrium: Express i...

Example of Equilibrium: Express in terms of θ, β and W the force T necessary to hold weight in equilibrium as shown in the figure given below. Also derive an expression f

White worth quick return mechanism, Which mechanism more efficiency? What i...

Which mechanism more efficiency? What is the reason ?

Explain working of steam sampling, Q. Explain working of Steam Sampling? ...

Q. Explain working of Steam Sampling? Sample coolers shall be supplied by the Vendor. A common sample spillage trough shall also be provided by the Vendor, with a cover screen

Differences between torque and torsion, Differences between torque and tors...

Differences between torque and torsion: Give differences between torque and torsion. List a few examples of torsion in the engineering practice. Sol.: When structural or

Explain the 3-2-1 principle of location, Explain the 3-2-1 Principle of Loc...

Explain the 3-2-1 Principle of Location A work piece can be positively located by means of 6 pins so positioned that collectively they restrict the work piece in nine of it

Location of centre of gravity of a hemisphere, Location of centre of gravit...

Location of centre of gravity of a hemisphere: Find out the location of centre of gravity of a hemisphere of radius a. Solution Figure shows the cross-section of the h

Machin of dynamics, Ask question Prove maximum fluctuation of energy ?E=2EC...

Ask question Prove maximum fluctuation of energy ?E=2ECS.

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