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
Prepare a design of close coiled helical compression spring for a service load ranging from 2250 N to 2750 N. The axial deflection of the spring for the load range is 6 mm. Conside

what are the functions of a lubricating system

for a 210 MW unit how we calculate power output at each stage if the turbine has 25 reaction stages

Predictive Control Algorithms Escaping Scheduling Errors via Partial Look-ahead Since previously mentioned above, the heuristic priority rules that are normally utilized in

Use s of Carnot Cycle: 1. It helping us to appreciate what factors is desirable in the design of practical cycle; namely a maximum possible temperature range. 1 maximum p

why this great equation does not apply(involved) in nuclear reaction ?

(a) Briefly explain the various efficiency terms associated with an engine. (b) A four cylinder engine running at 1200 rpm delivers 20 KW. The average torque when one cylinder w

strain energy = m2l/2Ei

INTRODUCTION: Previously, you studied about the growth of service industry, automobile industry, two-wheeler industry and the growth of Hero Honda Motors Ltd. Now you will study d

Calculate the magnitude of maximum bending moment: The shear force diagram for the overhanging beam is illustrated in Figure. Draw the loading diagram & bending moment diagram