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

Drive the expression for critical pressure ratio, Drive the expression for ... Drive the expression for critical pressure ratio for steam nozzle and illustrate critical pressure. Air flows in a 200cm 2 duct at a velocity of 180 m/s, a pressure of 119 KPa

Equipment for resistance welding, EQUIPMENT FOR RESISTANCE WELDING The ... EQUIPMENT FOR RESISTANCE WELDING The equipment for resistance welding is different from that for arc welding for the following reasons: Resistance welding machines are complica

Indian standard (is 812-1957)-welding definition, As per Indian standard (I... As per Indian standard (IS 812-1957) Define weld as "a union between two pieces of a metal at faces rendered plastic or liquid by heat or by pressure or both filler metal may b

Necessity of lubrication , Necessity of Lubrication To lubricate t... Necessity of Lubrication To lubricate the various parts of engine. The supplementary function of lubrication is to cool and clean the engine parts. To prevent en

Process of steam generation unit, Q. Process of Steam generation unit? ... Q. Process of Steam generation unit? BFW from water treatment area is sent to the BFW Booster pumps at temperature around 105°C. The BFW is then heated and fed to the HP BFW Pu

Fnsd analysis, example of fnsd analysis example of fnsd analysis

What do you mean by terms change of state, (a) Illustrate reversible, irrev... (a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish

Machine tool design, circular form tool design circular form tool design

Gmaw power source, GMAW POWER SOURCE A power source wit h a flat charac... GMAW POWER SOURCE A power source wit h a flat characteristics is almost universally used for GMAW process as it provides self adjustment and stabilisation of the arc. Also it m

calculate the shear stress and angle-open square tube, The open square tub... The open square tube is subjected to the torque T= DEF Nm as shown in Fig Q2. The tube has the length 1m and wall thickness 5mm. a)  Calculate the shear stress and angle of