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

Slidercrank, connecting rod AB of length L support a variable compressiv fo...

connecting rod AB of length L support a variable compressiv force F .Drive an expression for the moment of F about the crank axis O in the term of F L r and angle

Determine the average time in the queue, A machine machines parts in exactl...

A machine machines parts in exactly 1.5 minutes. The machine requires tool change according to an exponential distribution with a mean of 12 minutes between occurrences. The tool c

Compare solid shaft with the hollow, Compare solid shaft with the hollow: ...

Compare solid shaft with the hollow: Compare solid shaft with the hollow shaft, by strength and their weight. Sol.: ( a ) Comparison by strength: Assume that both the s

Manufacturing processes, Manufacturing Processes: Importance of Manuf...

Manufacturing Processes: Importance of Manufacturing: The importance of manufacturing is that a gives usable product from the ore of different metals and from different mate

Engine, Single Cylinder Vertical Engine has a bore of 30cm and a stroke of ...

Single Cylinder Vertical Engine has a bore of 30cm and a stroke of 40cm. The connecting rod is 100cm long. The mass of the reciprocating parts is 140Kg on the expansion stroke with

Calculate the stress at the outer edges, A column is made from a universal ...

A column is made from a universal I-section 203x 203 x 60. A load of 96kN is applied on the y-axis offset 50mm from the centroid. Calculate the stress at the outer edges of the y-a

Storage & quality of co2 gas, STORAGE & QUALITY OF CO 2 GAS CO 2 gas ...

STORAGE & QUALITY OF CO 2 GAS CO 2 gas is supplied in cylinders at a  high pressure (140 kg / cm 2 ). When the cylinder is full, nearly 90 % of the volume is filled with CO 2

Measurement of river water levels, Q. Measurement of river water levels? ...

Q. Measurement of river water levels? In designing bridges and other engineering structures on rivers, maximum discharge and highest flood level form essential data for design

Determine the tension in the cord, Determine the tension in the cord: ...

Determine the tension in the cord: Two blocks containing the weights and positions illustrated in Figure rest on a frame which rotates around its vertical axis at a constant s

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