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

Process Selection in Making a Simple Part You should first determine the part's function, the types of load and environment to which it would be subjected, the dimensional to

Determine the maximum uniformly distributed load: A timber beam 150 mm wide & 300 mm deep is supported simply over a span of 4 m. determine the maximum uniformly distribute

what is green chemistry with diagram

(a) What are the functions of lubrication system? (b) Define the working of lubrication system used for internal parts of engine. (c) What is chasis lubrication system? Descr

The major purpose of a wrap-a-round is to make a straight line around a pipe to aid in cutting the pipe to its proper length. It is used mainly as a template or a straight edge.

Determine the stress in composite bar: How do you determine the stress in composite bar? What is Modular Ratio? Sol.: It becomes essential to have a compound tie or strut

what is law of chemical combinations?

Q:  The12m boom AB weight 1 KN, the distance of center of gravity G is 6 m from point A.  For the position given, determine the tension T in cable and reaction at B.

Advantages of two stroke engine over a four stroke engine: The advantages of two stroke engine over a four stroke engine are stated below: 1. A two stroke engine has twice