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
Solid Modeling: 3-D solid modelling techniques provide the user along with complete information regarding the model. These may be quickly created without having to describe in

A vibrating system having mass 1.2 Kg is suspended by a spring of stiffness 1000 N/m and it is put to harmonic excitation of 10 N. Assuming viscous damping, Calculate : (a) R

INTRODUCTION: At any point of time, it may be required to disassemble the whole or any part of motorcycle. Whenever a part of motorcycle malfunctions or is damaged then it may be

Process Selection and Sequencing In this, some factors, which have an influence in all processes, are discussed. The factors include size, shape complexity, tolerances and produ

Q. What is Air Intakes? Air is drawn from the atmosphere for a variety of process and equipment uses, including: • Combustion air (fired heaters, boilers, gas turbines, int

Kleins construction fr 90 degree and 180 degree angle

how is angular shear stress distributed in between two stanchions

Compute the angular velocity of the wheel: A wheel of 0.5 m radius rolls over a horizontal surface without slipping as illustrated in Figure (a). The velocity of its centre is

all information about lifting machine