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Physics FST - EHU^1
5b- RIGID BODY
Statics
Physics FST - EHU
Book Chapter
P.A. Tipler, G. Mosca. Physics for Scientists and Engineers.
6th ed., W.H. Freeman & Co Ltd, 2007.
12
H.D. Young, R.A. Freedman, F. Sears, M. Zemansky.
University Physics with Modern Physics. Global Edition (14th
ed.), Pearson Education, 2015.
11
W. Bauer, G.D. Westfall, University Physics with Modern
Physics. McGraw-Hill Global Education, 2011.
11
P.M. Fishbane, S. Gasiorowicz, S.T. Thornton, Fisika
zientzialari eta ingeniarientzat. UPV/EHU-ko argitalpen
zerbitzua, 2008.
11
UEUko Fisika Saila. Fisika Orokorra. UEU, 1992. (^10)
UEUko Fisika Saila. Fisika Orokorra: Ariketak. UEU, 1989. 11
Bibliography
The contents that will be worked on this topic can be found in the following
book chapters:
Some images appearing in the current document were taken from these
bibliographic sources.
Physics FST - EHU^3
Σ
⃗ F ext
= 0 ⃗a CM
= 0
Σ
⃗ M ext
= 0 α⃗ = 0
As a consequence of the external forces acting on a rigid body:
- The net force, i.e. sum of all vectors, causes an acceleration of the CM
(independently of the application point of the force):
- Depending on the application point of the forces, these may have a
torque that will produce the rotational motion of the body:
Σ
⃗ F ext
=M ⃗a CM
M = I
A rigid body will be in STATIC EQUILIBRIUM if and only if:
and ...
The torque depends on the origin used for calculating it, but ...
STATIC EQUILIBRIUM
Physics FST - EHU 4
It will be demonstrated that
If holds with respect to a particular point, i.e. the origin, and the
body is in static equilibrium , it will also hold with respect to any other point.
Σ
⃗ M ext
= 0
x
x '
y '
y
r i
0
0 '
r i
'
D
x
x '
y '
y
r i
0
0 '
r i
'
D
M
0
i
r i
F
i
If it holds with respect to 0 : =^0
When the point of reference changes ( 0' ):
r i
=r i
'
D
x
y
r i
00
M
0
i
r i
F
i
i
r i
D∧
F
i
i
r i
F
i
i
D∧
F
i
i
r i
F
i
D∧
i
F
i
i
r i
F
i
M
0 '
0
**The weight acts as if it was applied on the CM.
Exercises: All
