Resolve a force system in to single force, Mechanical Engineering

Assignment Help:

 

Resolve a force system in to single force:

Resolve a force system in to single force and a couple systems. Also explain the Equivalent force couple system.

Or

'Any system of co planer forces can be reduced to a force couple system at an arbitrary point'. Explain above statement by assuming suitable system

 

The given force 'F' applied to a body at any point A is always is replaced by an equal force applied at another point B together with couple which will be equivalent to original force.

Let given force F is acting at 'A' as shown in the figure a.

This force is to be replaced at 'B'. Introduce two equal and opposite forces at point B, each of magnitude F and acting parallel to force at A as shown in the figure b. The force system of the figure b is equivalent to the single force acting at point A of figure a. In figure b three equal forces are acting. The two forces that is force F at point A and the oppositely directed force F at B (that is vertically downwards force at B) from a couple. The moment of this couple is F × x clockwise where x is perpendicular distance between the lines of action of forces at points A and B. The third force is acting at B in same direction in which the force at point A is acting.

 

311_Resolve a force system in to single force.png

In figure c the couple is shown by curved arrow with the symbol M. The force system of figure c is equivalent to figure b. Or in other words the Figure c is equivalent to Figure a. Hence the given force F acting at point A has been replaced by an equal and parallel force applied at B in same direction together with couple of moment F × x.

Therefore force acting at a point in rigid body can be replaced by an equal and parallel force at any other point in body, and couple.


Related Discussions:- Resolve a force system in to single force

Forecasting system outputs, Forecasting System Outputs: In a company, ...

Forecasting System Outputs: In a company, inventory level is reviewed biweekly. If the parts used in an assembly have the lead time of one and a half week, what period should

Thermodynamics, show that energy is property of system

show that energy is property of system

Explain design factors influencing cost of a print project, Problem: (a...

Problem: (a) What is the best paper to use when printing metallic inks? Explain your answer. (b) A multiple page printed document such as a book, brochure or booklet needs f

Material selection and process mapping, Material Selection and Process Mapp...

Material Selection and Process Mapping Selecting an optimal material from numerous candidates in one competitive aspect of manufacturing depends on factors such as properties,

Tom, ‘coefficient of insensitiveness’ of governors

‘coefficient of insensitiveness’ of governors

Illustrate volumetric efficiency of a compressor, Illustrate what is meant ...

Illustrate what is meant by volumetric efficiency of a compressor ? Illustrate how clearance volume affects it. Discuss the effects of clearance volume on the performance of an air

What is shallow foundation, What is Shallow foundation Shallow foundati...

What is Shallow foundation Shallow foundations are those where the depth D

Open belt drive, Open belt drive: An open belt drive connects the two...

Open belt drive: An open belt drive connects the two pulleys 120cm and 50cm diameter on parallel shafts which are apart 4m. The maximum tension in belt is 1855.3N. Coefficien

Design for a water treatment plant, Design for a water treatment plant: ...

Design for a water treatment plant: Produce as individuals a single tab Excel spreadsheet which shows a rough initial design for a water treatment plant taking 15

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