Resolve a force system in to single force, Mechanical Engineering

 

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to figure b. Or in other words the Figure c is equivalent to Figure a. Hence the given force F acting at point A has been replaced by an equal and parallel force applied at B in same direction together with couple of moment F × x.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

Posted Date: 10/17/2012 2:59:22 AM | Location : United States







Related Discussions:- Resolve a force system in to single force, Assignment Help, Ask Question on Resolve a force system in to single force, Get Answer, Expert's Help, Resolve a force system in to single force Discussions

Write discussion on Resolve a force system in to single force
Your posts are moderated
Related Questions
Gas Flow Rates Shielding gas flow requirements are based on cup & nozzle size, weld pool size & air movement . Generally, the flow rate increases in proportion to the cross s



matlab programme for carnot cycle

Illustrate Newton's law of viscosity. Explain the importance of viscosity in fluid motion. Describe the effects of temperature on viscosity of water and that of air? Discuss hyd



Obtain the equations of the elastic curve and use them to determine the deflection and rotation at point B  in terms of E, I, F and L. Determine the maximum bending stress in the

A facility that uses machines to fabricate devices from stock raw materials or to change mechanisms based upon given specifications. Also, know as "Back" Shops. The common machi

Advantages of resistance welding   1. Resistance welding is very fast compared to arc welding. 2. Almost any combination of metals can be resistance welded provided necessa