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

Horizontal curves - railways, Horizontal Curves - Railways In railwa...

Horizontal Curves - Railways In railway engineering, the horizontal curve is defined by its degree as well as by its radius. The degree is the angle subtended at the centre

Moment of Force, How do I solve this question? http://i195.photobucket.com...

How do I solve this question? http://i195.photobucket.com/albums/z154/NanazRulez/20120802_155751.jpg

Calculate the damping ratio, A second order system defined by Where r(t)...

A second order system defined by Where r(t) is a unit step function. Calculate the damping ratio, damped natural frequency, undamped natural frequency, peak overshoot occurs, ri

Engineering mechanics, Define the term Engineering Mechanics Sol.: E...

Define the term Engineering Mechanics Sol.: Engineering mechanics is the branch of science, which deals the action of forces on the rigid bodies. Everywhere we feel applicat

Velocity ratio for open belt drive, V elocit y Ratio for Open Belt Drive:...

V elocit y Ratio for Open Belt Drive: Figure Consider a simple belt drive (that is one driver and one follower) as shown in the figure given below Let D 1

Working of boiler, Working of boiler : Water is filled in boiler ...

Working of boiler : Water is filled in boiler shell through the feed valve up to 2/3 rd of shell. Water flows down through the down take header by means of descending wa

Determine strap beam with suitable demonstration, Determine strap beam with...

Determine strap beam with suitable demonstration. Here observe that R e becomes greater than P e by a magnitude of V while R i becomes less than P i by a magnitude equal to

Vibration, A bump/impact test is a simple technique used to determine a str...

A bump/impact test is a simple technique used to determine a structure’s natural frequency. Sketch a typical time wave response curve of such a test, then label the impact point an

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