Calculate additional force required to maintain equilibrium, Mechanical Engineering

Calculate Additional force required to maintain equilibrium:

For the system shown in figure find the additional single force required to maintain equilibrium.

Sol.: Let and be the angles as shown in figure Resolved all the forces horizontal and in vertical direction. When we add single force the magnitude of which is equal to resultant of force system and direction is opposite the direction of resultant. Let;

 

776_Calculate Additional force required to maintain equilibrium.png

ΣH = Sum of the horizontal component

ΣV = Sum of the vertical component

First

         H = 20cosα + 20cos(360° - β)

ΣH = 20cosα  - 20cosβ                                             ...(i)

Now

ΣV = 20sinα  + 20sin(3600 -  β ) -50 = -50 + 20sinα    + 20sinβ                ...(ii)

Hence resultant of the system = R = (  ∑H2  + ∑V2)1/2

Let the additional single force be 'R' and its magnitude is equal to

R' = R = [(20cosα  - 20cosβ )2 + (-50 + 20sinα  + 20sinβ  )2]1/2    .......ANS

Posted Date: 10/16/2012 2:50:04 AM | Location : United States







Related Discussions:- Calculate additional force required to maintain equilibrium, Assignment Help, Ask Question on Calculate additional force required to maintain equilibrium, Get Answer, Expert's Help, Calculate additional force required to maintain equilibrium Discussions

Write discussion on Calculate additional force required to maintain equilibrium
Your posts are moderated
Related Questions
relation between fluid pressure and velocity

What is Shallow foundation Shallow foundations are those where the depth D

Determine the rate of heat removal: Carbon dioxide passing through heat exchanger at rate of 100kg/hr is cooled down from  800 0 C to 50 0 C . Write down the steady flo

Stress-strain carves for ductile materials: A material is said to be ductile in nature, if it elongates before fracture. One this type of material is mild steel. Shape of stre

‘coefficient of insensitiveness’ of governors

a couple can be balanced by a force equal to its magnitude?

Problem A cat walks along a uniform plank that is 5.00 m long and has a mass of 9.00 kg.  The plank is supported by two sawhorses, one 0.500 m from the left end of the board a

A shaft carries three pulleys A,B and C. the pulleys B and C being 1.2m and 2.1m from A. the pulleys are out of balance to the extent of 0.03, 0.05 and 0.04kg.m respectively and ar

Find the Location of the Centroid a)  Write the integrals for the determination of the location of the centroid of the area shown in Figure-(a).  Only set up the integral.

Illustrate the specification of PDDI (i)  The 3-D geometry of the product which is defined by a set of curves, surfaces and volumes. (ii) The topology which describes the se