Sum of horizontal and vertical components, Mechanical Engineering

Assignment Help:

Sum of horizontal and vertical components:

The two forces shown in the figure, are to be replaced by an equivalent force R applied at P. Locate point P by finding its distance x from AB and specify magnitude of R and the angle O it makes with horizontal. 

720_Sum of horizontal and vertical components.png

Sol.: Let us assume equivalent force R (Resultant force) is acting at an angle of θ with the horizontal. And  ∑H and ∑V be the sum of horizontal and vertical components.

∑H = -1500 cos 30º = -1299N                                   ...(i)

V = 1000 -1500 sin 30º = 250 N                            ...(ii)

R = { ∑H2  + ∑V2  }1/2

For the direction of resultant

R = 1322.87 N                                                                        .......ANS

tanθ  =  ΣV/ ΣH

= 250/-1299

= -10.89º                                                                              .......ANS

Now for finding position of resultant, we make use of Varignon's theorem, that is R × d =∑M , Take moment about point 'O'

1322.878 × x = 1500 cos 30º × 180 + 1500 sin 30º × 50 -1000 × 200

By solving x = 53.92 mm                                                                                                       .......ANS


Related Discussions:- Sum of horizontal and vertical components

What is the importance of safety at workshop?, (a) What is the importance o...

(a) What is the importance of safety at workshop? (b) What problems may arise, if we do not take safety precautions in the workshop?

Converying system, impact force equation of ship to jetty?

impact force equation of ship to jetty?

Concept of temperature - thermodynamics, Concep t of Temperature: The...

Concep t of Temperature: The temperature is thermal state of body which describes the degree of hotness or coldness of body. If the two bodies are brought in contact, heat wi

Heat exchangers for plant design, Q. Heat exchangers for plant design? ...

Q. Heat exchangers for plant design? All exchangers shall be arranged to be readily dismantled for cleaning and maintenance. Cooling and heating streams generally flow against

Thermosetting plastics, Q. What do you mean by Thermosetting plastics? ...

Q. What do you mean by Thermosetting plastics? This plastic undergoes a number of chemical changes on heating and cure to infusible and practically insoluble articles. The chem

What do you mean by stage discharge relationship, Q. What do you mean by St...

Q. What do you mean by Stage Discharge Relationship? Regular recording of discharges over a period of time is essential for estimation of water resources of river basins and su

How can you implement chemically coated sand, Q. How can you implement chem...

Q. How can you implement chemically coated sand? Chemically coated sand : Clean silica grains are sometimes coated with a non thermosetting hydrocarbon resin, which acts as a

Important terms related to boiler, IMPO R T AN T TERMS: Fi r e ...

IMPO R T AN T TERMS: Fi r e Box: Place where fuel is burnt. Grat e : The fuel is burnt on this. Baffles : Plates are used for directing the flow of flue gass

Automation material specifications, Q. Automation Material Specifications? ...

Q. Automation Material Specifications? Automation Material Specifications include the development and / or review of material specifications, and the review of data sheets, mat

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