Determine resultant of four forces - mechanics, Mechanical Engineering

Determine resultant of four forces:

Determine resultant of four forces tangent to the circle of radius 3m shown in the figure given below. What will be the location of it with respect to the center of the circle?             


2319_Determine resultant of four forces.png

Let resultant be 'R' that makes an angle of θ with the horizontal X axis. And at a distance of x from point 'O'. Let ∑H and ∑V be the horizontal and vertical component.

H = 150 - 100 cos 45º = 79.29N                                                               ...(i)

V = 50 - 100 sin 45º - 80 = -100.7N         ...(ii)

R = {  H2  + V2}1/2

R = {(79.29)2  + (100.7)2}1/2

R = 128.17N                                                                            .......ANS

Calculation For angle θ

tanθ   =     ∑V/ ∑ H

= -100.71/79.28

θ= -51.78º                                                                              .......ANS

Calculate distance'd'

In accordance to Varignon's theorem, R.d = ∑M

(By taking moment about point 'O')

That is, 128.17 X d = 150 X 3 -50 X 3 + 100 X 3 - 80 X 3

d = 2.808 m                                                                            .......ANS

Posted Date: 10/16/2012 7:33:12 AM | Location : United States

Related Discussions:- Determine resultant of four forces - mechanics, Assignment Help, Ask Question on Determine resultant of four forces - mechanics, Get Answer, Expert's Help, Determine resultant of four forces - mechanics Discussions

Write discussion on Determine resultant of four forces - mechanics
Your posts are moderated
Related Questions
1.5kw/ton of refrigeration is required to maintain temp of -40c in the refrigerator.if the cycle works on carnot cycle.determine 1.cop,2.sink temp 3. heat rejejected to the sink/to

Q. Pressure Relief Valve Application? A general comparison of operational characteristics is given for the different types of pressure relief valves in common industrial use.

Problem: In HEC-RAS, model this system as 1 reach with cross-sections every 2 ft. For all 3 discharges (labeled as: design, low, flood), (a) Determine the water depths 10 ft fro

Calculate the maximum and minimum stress: A cast iron column of 200 mm diameter carries a vertical load of 400 kN, at a distance of 50 mm from the centre. Calculate the maximu

Q. Explain about Nonconforming Material? If PMI test results indicate that the material or item does not meet the specified composition of the alloy, the subject material/item

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

what is mean by precipitation hardening?

Describe some special kind of patterns and indicate the production circumstances in which each would be need. Illustrate the term Directional solidification as applied in castin

a steel bar is