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

Velocity acquired by block - system released from rest, Velocity acquired b...

Velocity acquired by block - system released from rest: T wo blocks shown in the figure given below, have masses A = 20N and B = 10N and the coefficient of friction between

Explain power transmission systems, The basic power transmission systems ar...

The basic power transmission systems are 1. Belt drive 2. Chain drive and 3. Gear drives. Belt drive is commonly used for transmission of power when exact velocity rat

Hooks law, State Hook's law: Sol.: It states that when material is l...

State Hook's law: Sol.: It states that when material is loaded within the elastic limit, the stress is proportional to strain produced by the stress. This means that the rat

Carnot vapour cycle, how to understand what is carnot vapour cycle???please...

how to understand what is carnot vapour cycle???please understand me..??

Rich mixture-mixture requirement , Rich Mixture: It generally ranges...

Rich Mixture: It generally ranges from approximately 7 : 1 to 13 : 1 proportion of air to fuel by weight. To get a high power rich mixture is required. In fact to start the e

Communication, is effective commucation an intergral aspect in the mecheni...

is effective commucation an intergral aspect in the mechenical engineering field?

Tyres of motorcycle, Tyre: Different bikes respond differently to differen...

Tyre: Different bikes respond differently to different tyres, so it is impossible to make a generic recommendation. It mainly consists of outer cover and inside tube. The tyre tub

Thermal stress, how did the formula derived smax = Ed1 a ?T/d 2

how did the formula derived smax = Ed1 a ?T/d 2

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