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
(a) Explain the procedure of removal for valves. (b) How should one remove valve guide from cylinder head? (c) What is the use of piston side base? (d) What is the use of

APPLICATIONS OF CO 2 WELDING CO 2 welding is extremely useful for joining thin sheets of thickness range 1.0 to 2.0 mm because it is possible to keep the heat input low to av

Product Definition Data Interface (PDDI) IGES provided a very practical first solution for CAD data exchange, complete with an exchange file format. It was remarkable in the sp

Q. Basic type of Polymer? Polymer can be divided into three broad divisions: plastics, fibers, and elastomers. Synthetic resins are usually referred to as plastics. Plastic der

Beam: Sol.: A beam can be defined as a structural element which has one dimension (length) considerable larger As compared to the other two direction, which is breadth an

Find out ratio of strain-energy: A circular rod of diameter d and length l is fixed at one end and a torque T applied at the other. Now, if any close coiled helical spring is

Matter, Particle and Weight: Sol: Matter: Matter is anything which occupies space and have some mass, offers resistance to any stress, for example Iron, stone, air, Water.

(a) A 50 mm dia. jet having a velocity of 18 m/sec. impinges without shock on a flat plate inclined at an angle to the axis of jet. If the plate is moving at 5 m/sec in the directi

a) State FOUR factors that affect the effectiveness of hydrodynamic lubrication as a means of reducing friction between components. b) Under what conditions would boundary lubri