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Module 5 Equilibrium of Particles

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STATICS 213 – STATICS OF RIGID BODIES Don Honorio Ventura State University

MODULE 5: Bacolor, Pampanga


College of Engineering and Architecture
EQUILIBRIUM OF A PARTICLE Department of Civil Engineering

A. Objectives:

• Have a better understanding of the concept of equilibrium.


• Solve problems regarding equilibrium of a particle.

B. Contents:

Equilibrium of a Particle
The particle is in equilibrium if the resultant of the forces is equal to zero.

Two equations of equilibrium:


Σ Fx = 0
Σ Fy = 0
Case I:
A particle which is acted upon by two forces will be in equilibrium if the two forces have the same
magnitude, same line of action but opposite sense.

Case II:
A particle which is acted upon by three or more forces will be in equilibrium if the polygon produce, by
using Tip-to-Tail method, will close.
Problems:
1. The 1200 kg car is being lowered slowly onto the dock using the hoist A and winch C.
Determine the forces in cables BA and BC for the position shown.

2. Determine the magnitude and direction of F4 if the four concurrent forces are in equilibrium.

Y
F4

F3 = 60 N θ X

1 30˚
2
F2 = 75 N
F1 = 90N
3. The system of knotted cord shown support the indicated weights. Determine the tension in each cord.

B 105˚ E
A
55˚
85˚
400 N
D

300 N

G. References:
1. Vector Mechanics for Engineers 10th Edition, Beer, F.P., Johnston, E.R.Jr, Mazurek, D.F., Cornwell,
P.J.2013
2. Engineering Mechanics Statics 13th Edition, Hibbeler, R.C.,2013
3. Engineering Mechanics Statics 14th Edition, Hibbeler, R.C.,2016
4. Engineering Mechanics Statics 3rd Edition, Pytel, A., Kiusalaas, J., 2010

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