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
Illustrate about the three authors of IGES In 1977, the three authors of The Initial Graphics Exchange Specification were recognized collectively for their contributions to the

A competitor in a hill-climb event finds during practice that his car becomes airborne at a particular point on the hill.  Shortly after landing the lowest point in the car just co

Venturi Tube: A venturi is basically an air passage that has a shape similar to that shown in Figure that is narrower at the middle known as venturi tube. As air travels thro

(1) Huckel Theory: Using Huckel theory, write a program that solves for the molecular orbitals and energy levels in a conjugated or aromatic hydrocarbon (i.e. ethylene, butadiene,

Scrapper: Scrappers are used to scrap gasket or other such materials from flat or irregular surface. Scrappers of several sizes are shown in Figure. Figure : Scrapper

Determine the reaction: The cantilever is shown in the figure given below; determine the reaction when it is loaded.   In cantilever at fixed end ( A ) there is three reac

example with its properties

How ca I make an opc & fpc chart