Find the magnitude of force, Mechanical Engineering

Find the magnitude of force:

Q: The two parallel forces are acting at point A and B respectively is equivalent to force of 100 N acting downwards at point C and couple of 200Nm. Find the magnitude and force F1  and F2  shown in the figure a.

 

1160_Find the magnitude of force.png

The given system is converts to single force and single couple at point C. Let R be the resultant of forces F1  and F2.

RH = 0

RV = -F1  -F2

RV = -(F1  + F2)                                                                                                 ...(i)

Since                                          R = (R2v  )1/2  = (F1 + F2)

Let the resultant R act at distance 'd' from point C.

Now the single force that is R is converted in to single force and couple at C

Now apply two equal and opposite force i.e. 'R' at point C. as shown in the figure b. Now force 'R' which act at point E and upward force which act at point C makes a couple of magnitude = Force × distance

                        = R × d

But   R.d = 200 N-m

And force R which is downward direction = 100 N   (negative for downward)

That is, (F1  + F2) = 100 or F1  + F2  = 100                                                                           ...(ii)

Now taking moment about C, or apply varignon's theorem.

R.d = 4F1  + 7F2 , but R.d = 200,

4F1  + 7F2 = 200                                                                                                           ...(iii)

By solving equation (ii)and (iii)

F1 = 500/3 N                                                                             .......ANS

F2 = -200/3 N                                                                          .......ANS

Posted Date: 10/17/2012 3:09:04 AM | Location : United States







Related Discussions:- Find the magnitude of force, Assignment Help, Ask Question on Find the magnitude of force, Get Answer, Expert's Help, Find the magnitude of force Discussions

Write discussion on Find the magnitude of force
Your posts are moderated
Related Questions
Scissors Crossing: A scissors crossing consists of two crossovers overlapping each other. It is shown in Figure. Figure: Scissors Crossover Triangles

Loa d Diagram and BM D fro m the Given SF D: Q: Shear force diagram of simply supported beam is given in the figure below.  Calculate the support reactions of beam and

A truss of 12 m span is loaded as shown in figure below. Determine the forces in the members of the truss by method of sections.

Q. Inspection and testing for coating application? The Applicator shall perform all inspection and testing necessary to assure that the surface preparation and coating applicat

please help me to calculate the diameter of a brake drum for using in a "brake drum dynamometer engine test rig" the engine specs are as follows: - 6Hp single cylinder 4stroke engi

boiler performance.

Newton law of motion - Thir d Law Force of action and reaction between the bodies which are interacting are equal in magnitude, opposite in direction and have same line of ac

Airlines like to overbook their flights (this is a vibrant area of research called yield management). It is estimated that 10% of the people who book their flight do not show up. H

advantages and disadvantages of hot working of metals

Spanners: These are used to tighten and loosen nuts and bolts. These are made according to standard nut and bolt sizes and in vanadium steels. The following types of spanner are u