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

Describe the elements of polyhedral objects, Describe the Elements of Polyh...

Describe the Elements of Polyhedral objects Objects that are often encountered in engineering applications can be classified as either polyhedral or curved objects. A polyhedr

Design stairways - ladders and platforms, Q. Design Stairways - Ladders and...

Q. Design Stairways - Ladders and Platforms? Stairways, rather than ladders, should be provided for main access to elevated structures. Ladders should be reserved for isolated

Design, please help me to calculate the diameter of a brake drum for using ...

please help me to calculate the diameter of a brake drum for using in a "brake drum dynamometer engine test rig" the engine specs are as follows: - 6Hp single cylinder 4stroke engi

Compute monitoring and control, Compute Monitoring and Control: These are t...

Compute Monitoring and Control: These are the direct application in which the computer is connected directly to the manufacturing process for the purpose of monitoring or contr

Properties of aluminium alloys, Properties of Aluminium Alloys: Among...

Properties of Aluminium Alloys: Among the different properties of aluminium alloys given are notable as: (a) Low density as 2.7 gm/cc (b) Elevated electrical and therma

Classification based on type of welding, Classification Based on Type of We...

Classification Based on Type of Welding  Fusion welding : These processes involve fusion of the base metal to complete the weld. Fusion welds generally  do  not  require  thea

What is drilling, What is Drilling It is an operation by which holes ar...

What is Drilling It is an operation by which holes are produced in solid metal by means of revolving tool known as „Drill?. The various operations on drilling machine.

Turnning fixtures, What are the forces coming on workpiece during turning a...

What are the forces coming on workpiece during turning and how workpiece should be clamp?

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