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CENTER OF MASS

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IHSAN DO RAMACI FOUNDATION BILKENT ERZURUM LABORATORY HIGH SCHOOL CENTER OF MASS Cemre ise KADIO LU 102 KEY WORDS Balance Stability Resultant-gravitional forces ... – PowerPoint PPT presentation

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Title: CENTER OF MASS


1
CENTER OF MASS
IHSAN DOGRAMACI FOUNDATION BILKENT ERZURUM
LABORATORY HIGH SCHOOL
Cemre Çise KADIOGLU 102
2
KEY WORDS
Center of gravity, plumb line
Weight, torque
Resultant-gravitional forces
Stability
Balance
Equilibrium
Turning effect
3
What is centre of mass?
  • The small forces act like a single force at G.
    This means that they have the resultant force at
    G.
  • The resultant force is the sticks weight.
  • G is the centre of mass.

Gravitional forces on particles of stick
4
What is centre of mass?
  • Centre of mass of a body is the body that moves
    as though all of the mass were applied there.

5
Finding centre of mass
  • If the object is uniform, for example a meter
    stick, the center of mass will be at the exact
    geometric center.
  • But, if the shape is irregular we use plumb line.
  • Draw lines from each vertex along the plumb line
    by assuming that the point is on that line
  • After drawing the lines the centre of the mass
    will be on the intersection point of these lines.

G
Intersection point-Centre of mass
6
Finding the centre of mass
  • But, if the shape is irregular we use plumb line.
  • Draw lines from each vertex along the plumb line
    by assuming that the point is on that line
  • After drawing the lines the centre of the mass
    will be on the intersection point of these lines.

Intersection point-centre of mass
Plumb line
7
  • Balancing unequal masses are again about centre
    of mass
  • For example,
  • The bus is heavier than the car so theyre not in
    balance.

M2
M1
d2
d1
8
  • In order to balance the system, we should change
    their distances to the support.
  • Now theyre in balance.

d1
d2
9
Stability Equilibrium
  • If an object isnt moving and remainig same, the
    object is stable.
  • State of rest or balance due to the equal action
    of opposing forces is called equilibrium.
  • When the object is stable its also in
    equilibrium which means the forces acting on the
    object and the forces turning effects are in
    balance.

10
Stability-Equilibrium
Will turn to its original position
Small force will turn it over
Will definetely fall over before another force is
applied
11
Types of equilibrium
  • There are three states of equilibrium,

12
Stable equilbrium
  • The objects that have wide base also have the
    lower centre of mass.
  • The lower the centre of mass is, the more stable
    object is.
  • So its more difficult to fall over an object
    with wider base.

13
Unstable equilibrium
  • The objects that have very little base, have high
    centre of mass.
  • And if these objects are tilted the centre of
    mass immediately passes beyond the base.
  • So theyre not stable and its easy to fall these
    objects over.

14
Neutral equilibrium
  • The objects that are in neutral equilibrium stay
    where theyre lefted.
  • When moved, it changes the position.
  • Wherever they stay, their center of mass is
    always over their base.

15
References
  • Complete Physics for IGCSE
  • http//dev.physicslab.org/Document.aspx?doctype3
    filenameRotaryMotion_CenterMass.xml
  • http//dictionary.reference.com/browse/equilibrium
  • http//en.wikipedia.org/wiki/Center_of_mass
  • http//eteach.engr.wisc.edu/meibom/espp/slides/esp
    p.ppt
  • http//solar.njit.edu/cdenker/physics111_lecture0
    8.ppt
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