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
Calculate the overall fraction defective from all of sample: ABC insurance company desires to design a control chart to check whether insurance claim forms are being correctly

Draw and also explain the stress strain diagram for the following materials a) Copper b) Ductile Materials c) Rubbers and Elastomers and d) Brittle materials.

Flash Butt Welding The two pieces to be welded are pressed against each other by applying a pressure. To whatever finish the faces are machined, there will be some protuberance

Necessity of Suspension System Not to transmit road shocks to the motorcycle components. To guard the driver from road shocks and to make sure the stability of the ve

Motion of two bodies - rough surface and rough pulley: THE HORIZONTAL SURFACE IS ROUGH AND THE STRING IS PASSING OVER ROUGH PULLEY. Figure shows two weights W 1 and W 2 c


why G2 is introduced in michelson interferometer tell with proper diagram

Evaluate the power output of turbine: Q: A turbine in steam power plant operating under steady state conditions receives the superheated steam at 3MPa and 350ºC at the rate o

hardenability of ferrous and non ferrous alloys

Derive the mathematical Heat Conduction equation through a composite wall. Determine Thermal contact Resistance ?