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
Temperatur e Scales: The temperature of a system can be determined by bringing a 2 nd body, a thermometer, into contact with the system and allowing thermal equilibrium to b

Master Production Schedule: A manufacturing unit produces two products M and N on generates to stock basis. The estimated demand for the product M and N over the next six week

what is coriolis component of acceleration?

HEAT ENGINE - Thermodynamics: HE A T ENGINE. A heat engine is a thermodynamics system that operates in a cycle in which heat can be transferred from heat source to heat si

Equivalen t of Kelvin Plank and Clausius statement: The Kelvin plank and clausius statements of the second law and are equivalent in all the respect. The equivalence of state

Provide short answers to the following questions: a)   What the necessary condition for a heat transfer process to occur? b)   What is a difference between the steady state c

Q. Vessels resting on concrete foundations? For vessels resting on concrete foundations, the allowable concrete bearing stress shall be 750 psi (5 MPa). The design loadings fo

Determine the point of contraflexure: Draw the shear force & bending moment diagram for 10 m span overhanging beam along overhanging part of 4 m subjected to a system of loads


What is UPR Novel architecture for complete CAD data exchange, called the Universal Product Representation (UPR).