Calculate additional force required to maintain equilibrium, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Calculate additional force required to maintain equilibrium

Compute the utilization of peak capacity, Compute the utilization of peak c...

Compute the utilization of peak capacity: If the fabrication department of the engine manufacturer, operated under ideal conditions, produces 100 engines per day. Management b

Frequency of sound, derive an expression for the fundamental frequency of ...

derive an expression for the fundamental frequency of sound obtainable from a tube given diameter open at one end

The many uses of iron, 5000 word assignment 25/10/2018 due date Research P...

5000 word assignment 25/10/2018 due date Research Project for ENGR8752 Engineering Physics and Material write down about the iron history and all about iron my detail yesh patel

What are the approaches to the design of retaining walls, What are the appr...

What are the approaches to the design of retaining walls? The approach to the design of retaining walls can be started as follows: a. Chosse a trial dimension of the wall

Define application of drilling machine, Application of Drilling machine ...

Application of Drilling machine Drilling machines of dissimilar capacity and configuration are basically used for originating cylindrical holes and occasionally for enlarging t

Thermodynamics, we can use in proove of energy is a propertyof system we ca...

we can use in proove of energy is a propertyof system we can use (E) instead of (dQ-dW)

Introduction to computer, Introduction to Computer: This covers the ma...

Introduction to Computer: This covers the major hardware features of computer graphics systems such as video monitors, keyboard, hard copy devices, and other devices for graph

What is linear sweep, Linear Sweep In linear sweep, the path is a linea...

Linear Sweep In linear sweep, the path is a linear or circular vector described by a linear, most often parametric. Linear sweep can be divided into translational and rotationa

Carnot cycle - thermodynamics, Carnot Cycle - thermodynamics: Carno ...

Carnot Cycle - thermodynamics: Carno t Cycle: Sadi carnot; this is based on second law of thermodynamics introduced the concepts of reversibility and cycle in the year 1824

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd