Sum of horizontal and vertical components, Mechanical Engineering

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

Posted Date: 10/17/2012 3:23:04 AM | Location : United States







Related Discussions:- Sum of horizontal and vertical components, Assignment Help, Ask Question on Sum of horizontal and vertical components, Get Answer, Expert's Help, Sum of horizontal and vertical components Discussions

Write discussion on Sum of horizontal and vertical components
Your posts are moderated
Related Questions
The Leader Command The Leader command can be used to annotate at any point on a drawing. The command sequence below was used to draw the leader shown in the Figure Below.

Plate : These are also known as electrodes. There are two types of group of plates - Positive and Negative. Each group contains more than one plate. A group of positive plates is

Clausius inequality - thermodynamics: Whenever closed system undergoes cyclic process, cyclic integral is less than zero (that is negative) for an irreversible cyclic process

An ideal gas is heated at fixed volume until its temperature is 3 times the original temperature. It is then expanded isothermally till it reaches original pressure. The gas is t

a) In strip rolling what is i) Forward slip ii) Neutral point. Illustrate with diagram. b) State the conditions for rolling.

Swing Arm Shock Absorber :   This type of suspension is used to serve for rear part of motorcycle. The advantage of this type of suspension is that large deflections are absorbed.


Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the materials to suitable temper

Explain the Extensive Properties of a System Extensive properties are those, which dependent on the mass of the system and do not maintain similar value for any part of the sys

Q. Insulation for personnel protection? Insulation for personnel protection shall be provided as follows on all piping and equipment adjacent to work platforms or other operati