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

Find the tension in the thread, Find the tension in the thread: A thre...

Find the tension in the thread: A thread is wound round a heavy homogeneous cylinder of mass m and radius. The cylinder is permitted to fall from rest and unwinds the thread.

Copper alloys, Copper Alloys Some alloys of copper are employed in ind...

Copper Alloys Some alloys of copper are employed in industry for varying causes. Copper forms alloys along with zinc or the brasses, tin or the bronzes, along with tin and pho

What is coated electrode, Q. What is coated electrode? These types of e...

Q. What is coated electrode? These types of electrodes are prepared by coating of flux on metal wire. Due to arc metal electrode melts and used as filler metal. Flux melts and

Evaluate crippling load, A column of timber section 15cm x 20cm is 6 meter ...

A column of timber section 15cm x 20cm is 6 meter long both side being fixed. If the youngs modulus for timber is 17.5 KN/mm 2 , Evaluate: a) Crippling load and b) Safe load

Type of defects and their significance, TYPE OF DEFECTS AND THEIR SIGNIFICA...

TYPE OF DEFECTS AND THEIR SIGNIFICANCE   Defects in weldments in general can be classified as follows: I. Defects involving inadequate bonding Lack of fusion Incom

Determine radial and hoop stress, A hydraulic pipe is 20 cm internal diamet...

A hydraulic pipe is 20 cm internal diameter and 5 cm thick. It is needed to sustain an intensities of radial and hoop stress at several radii and plot their variation.

APPLICATION OF SHM, what are the properties magnet ? also how the repulsio...

what are the properties magnet ? also how the repulsion is measured?

Radiation in welding, what is the health effects of ultraviolet ray on the ...

what is the health effects of ultraviolet ray on the eyes of welders

Derive steady flow energy equation, Derive steady flow energy equation?Also...

Derive steady flow energy equation?Also give applications of steady of steady flow energy mathematical equation?

Design and sketch a knuckle joint to transmit a tensile load, Give a genera...

Give a generalized definition of factor of safety. Illustrate the factors responsible for Un-certainities in design necessitating a suitable factor of safety. How is ‘factor of saf

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