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;

 

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

Ask an Expert

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

Write your message here..

Related Questions

IC Engine, why can''t we use petrol as a fuel for diesel engines? why can''t we use petrol as a fuel for diesel engines?

Stone slab culverts with abutments, Stone Slab Culverts with Abutments and ... Stone Slab Culverts with Abutments and Piers: Where good quality stone slabs are available like granite slabs, they can be used for superstructure of culverts, with suitable

Determination of reaction at the support beam, Determination of Reaction at... Determination of Reaction at the Support beam: Draw a SFD & BMD for the beam illustrated in Figure Figure Solution Determination of Reaction at the Support

Process engineering, part print analysis part print analysis

The auto component sector-automobiles industry growth , The auto component ... The auto component sector has also posted significant growth of 20 percent in 2003-04, and achieved a sales turnover of Rs. 30,640 crore (US$ 6.7 billion). Further, there is a pote

Dryness fraction measurement - thermodynamics, Dryness fraction measurement... Dryness fraction measurement: Sensible Hea t of Water or Heat of Liquid or Enthalpy of Liquid (h) Sol.: It is quantity of heat which is required to raise unit mass

Mechanics of solid, determine crippling load for T section dims 12cm??12cm?... determine crippling load for T section dims 12cm??12cm??2m and of length 6m it used as colum with one of its end fixed and other hinged E=2??10 power 5 N/mm2

Determine the shear force and bending moment equation, Determine the Shear ... Determine the Shear Force and Bending Moment Equation The 13-ft long beam ABCDE is simply supported with concentrated loads of 2000 lb at points A and D and a distributed

Branches of mechanics, Branches of mechanics: Mechanics is basically d... Branches of mechanics: Mechanics is basically divided in to two parts Static's and Dynamics, Dynamics is further divided in kinematics and kinetics Statics: It deals with

Force exerted on the pin - mechanics, Force exerted on the pin - Mechanics:... Force exerted on the pin - Mechanics: Determin e x and y components of force exerted on the pin at A as shown in the figure given below. As there is a single strin