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

Proell governor., how to solve numerical of proell governor

how to solve numerical of proell governor

Determine the thermal efficiency, A combined cycle plant is designed to dev...

A combined cycle plant is designed to develop 200MW power. The air is obtained by the compressor at 300K and 1 bar pressure. The maximum temperature of the gas turbine cycle is lim

Fatigue loading on materials, what are the factors that affecting the fatig...

what are the factors that affecting the fatigue behaviour of materials?

What is bolt elongation, Q. What is Bolt Elongation? The required bolt ...

Q. What is Bolt Elongation? The required bolt elongation Δ 1 may be calculated by the equation (7): Δ 1 = 3.25 * 10-8 * SB * L0 (in) (7) Where L 0 is the effect

Elastomers, define elastomer.explain in details?

define elastomer.explain in details?

Wall thickness tank, What must be thickness of Wall tank: ASTM 285 C, const...

What must be thickness of Wall tank: ASTM 285 C, construction material. 15.75 ft diameter 18.0 ft length Wall length down cone =10.4 ft length top cone = 8.3 ft Operation pressur

Bund and dike capacity, Bund / dike capacity is typically covered by local ...

Bund / dike capacity is typically covered by local codes and regulations, however some general principles for liquid storage compounds are: • The net capacity of a bunded / dik

Press tools, Difference between press forminig and hammer forming

Difference between press forminig and hammer forming

Determine moment of this normal force - rectangular beam, Determine moment ...

Determine moment of this normal force - rectangular beam: A rectangular beam contains a width of 100 mm and a depth of 200 mm. This is utilized as a simply supported beam & th

Pulsed dc welding, Pulsed DC Welding Pulsed DC involves the repetitive ...

Pulsed DC Welding Pulsed DC involves the repetitive variation in arc current from a background (low) value to a peak value. Adjustments of the pulse current time, background cu

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