The center of gravity is the point where the entire weight of an object can be considered to be concentrated. It is where an object can be balanced. When supported at its center of gravity, an object experiences no net torque and will remain in static equilibrium. Irregularly shaped objects can have their center of gravity located experimentally by suspending the object from different points and finding where the vertical lines intersect. The stability of an object depends on how much its center of gravity can be changed by a small displacement - objects with wide bases and low centers of gravity are most stable.
Center of Gravity, Definition, Importance, and Determination of Center of Gravity, Center of Gravity of Uniform and Regular shaped objects, Center of gravity of non-uniform and irregular shaped objects, Suspension method and mathematical method of determining center of gravity
Center of Gravity, Definition, Importance, and Determination of Center of Gravity, Center of Gravity of Uniform and Regular shaped objects, Center of gravity of non-uniform and irregular shaped objects, Suspension method and mathematical method of determining center of gravity
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2. What is the Center of Gravity?
• The point in which gravity appears to be
acting
• The point at which an object
behaves as if all it’s weight were
concentrated there
• the point at which an object can
be balanced
3. Point of Balance
• When an object is supported at it’s center of gravity
there is no net torque acting on it, and it will remain
in static equilibrium
Why is an object balanced at the
center of gravity?
• An object balanced at this point is able to
free rotate about that point – add picture
4. Broom vs. Meter Stick
• Broom and meter stick balanced at the
center of gravity
• Why did one finger remain still or move
slower than the other?
• The finger that is closer to the center of gravity will
have to support more weight and will feel more
friction and move more slowly or remain still. The
other finger will begin to slide closer to the center of
gravity. The fingers may then alternate as they
approach meeting at the center of gravity.
5. Locating the Center of Gravity
• Uniform objects (meter stick) – Locate the center of
gravity using symmetry. The center of gravity for a
uniform object will be the exact geometric center.
• Irregularly shaped objects (broom) – you can
locate the center of gravity experimentally.
- Using a plumb line, you can suspend the
object from various points (2 or more) and trace
the plumb line’s location each time.
6. • The center of gravity of any suspended object lies
directly beneath the point of suspension. The center of
gravity will be located on a vertical line drawn from the
suspension point.
• To locate this point, suspend the object from various
points and draw vertical lines from the suspension point.
• The intersection of the lines is the point of the object’s
center of gravity.
Locating the Center of Gravity
Irregularly shaped objects
7. Locating the Center of Gravity
• Which end of the broom was the center of gravity
closer too?
• On an object of irregular shape, the center of
gravity will be closer to the heavier end.
• Most of the time the center of gravity
of an object is a point within the
physical mass of the object. But it can
also be located at a position that has no
physical mass.
Picture of a donut
boomerang high jumper
8. Why do we care about the center of gravity?
Stability!
Peg board demo Balancing toys
• The degree of stability in an object’s position depends on
how much its center of gravity will be changed if moved.
• Stable equilibrium – occurs when a small
displacement on an object results in a restoring torque
that brings the object back to its original position
• Unstable equilibrium – occurs when a small
displacement on an object results in a torque that will
rotate the object farther from its original position (falls
over)
9. • As long as a plumb line
dropped from the center of
gravity falls within the area of an
object’s base of support, the
object will not all over.
Why do we care about the center of gravity?
Think back to peg boards –
when was the board stable?
10. What object shape will be the most stable
(least likely to tip over)?
• Objects with wide bases and low centers of
gravity are more stable and least likely to tip over
Insert picture of
race car versus
SUV
11. Balancing Toys – How do they work?
• If the pivot point (point of support) is on
the same vertical line as the center of gravity,
then the object is going to balance.
• When the toy is tipped, the center of gravity is raised
resulting in gravity exerting a restoring torque which
pulls it back toward the upright position.
• If the center of gravity is not inline with the pivot point then
the object will rotate either clockwise or counter clockwise
depending on which side has more torque.
