Replace the two parallel forces by single force, Mechanical Engineering

Assignment Help:

Replace the two parallel forces by single force:

Replace the two parallel forces acting on the control lever by a single equivalent force R.

 

Sol.: Since single equivalent force is resultant.

 

2015_Replace the two parallel forces by single force.png

Let ΣH and ΣV be the horizontal and vertical component of the resultant. Resolving all the forces in horizontal direction

ΣH = 50 - 80 = -30N                           ...(i)

As there is no vertical force that is the resultant is horizontal. Now for finding out point of application of resultant, Let resultant is at distance of 'd' from the point 'O'. Apply varignon's theorem, and by taking moment about point 'O'

R.d = 50 × 80 - 80 × 50  = 0

But     ΣR = ΣH = -30N, so d = 0

d = 0, means point of application of the resultant is 'O'

Therefore an equivalent force 30N acts in negative x-axis at point 'O' which replaces the given force system.

 


Related Discussions:- Replace the two parallel forces by single force

Mechanical efficiency, The following data were obtained from a test on a si...

The following data were obtained from a test on a single cylinder, double acting steam engine fitted with a rope brake. Cylinder diameter 200mm Stroke 250mm Speed 5rev/min Effec

Two wheeler engines, Two Wheeler Engines: Engine is a unit of motorcycle t...

Two Wheeler Engines: Engine is a unit of motorcycle that runs the motorcycle by converting fuel energy to mechanical power. This power comes from the burning of fuel inside the cy

Requirements for design structural steel, This section shall apply to the g...

This section shall apply to the general requirements for design, fabrication, erection, and testing of structural steels for supports, stairways, ladders and platforms. All stru

How the drawbacks of WFM technique have been overcome, The drawbacks of WFM...

The drawbacks of WFM technique have been overcome Domain While no representation can describe all possible solids, a representation should be able to represent a useful se

Determine the thermal conductivity of the rod, One end of a rod, 35 mm in d...

One end of a rod, 35 mm in diameter, is diped into a furnace with the other end projecting in the outer air. After the steady state is obtained, the temperature of the rod is evalu

Engine, maximum rpm at engine

maximum rpm at engine

High resistance or low current in primary coil circuit, If High Resistance ...

If High Resistance or Low Current in Primary Coil Circuit Causes of Problem Remedy   Disconnected or loose wires

Stresses., temparature stresses in composite bars

temparature stresses in composite bars

Simply supported beam, Select a standard rolled steel I-section for the sim...

Select a standard rolled steel I-section for the simply supported beam shown in figure below. Select an appropriate factor of safety and material strength. Include references for

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