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BMA EXAM
angular kinetics
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Inertia:
· Tendency of a body to resist a change in its state of
motion.
Moment of
Inertia
:
· Inertial property for
rotating
bodies= resistance to
angular acceleration.
·
Moment
of inertia = (m + r
2
)
· As
radius
is squared=
radius
has most influence
Radius of
gyration
:
· Distance from axis of
rotation
to a point where the body’s mass could be concentrated without altering its
rotational characteristics.
· I (moment of inertia)= m (
mass
) x k2. (distance known as radius of
gyration
)
Angular momentum: Quantity of angular motion possessed by a body.
· Product of moment of inertia and angular velocity.
· H= I x w
· H= mk2w
Factors affecting:
·
Mass
(increased mass=
proportional
increased H).
·
Distribution
of mass (smaller distribution= increased H- most important)
·
Angular velocity
(increased velocity= proportional increased H)
Transfer of angular momentum:
Pike
position = large discrepancy of radius of
gyration
for upper/lower segments with respect to long axis of two major segments
Conservation of angular momentum:
· When
gravity
only acting external force= momentum is
conserved.
angular impulse=
Tt
=
torque
x time.
· ˚∆H (
Angular impulse
)= T(F x d) t (
time
).
Angular momentum from take off depends on:
· Reaction force
e.g. with
springboard.
· Moment arm
with respect to driver’s centre of
gravity
(d).
angular newtons laws.
Angular law of inertia:
· A rotating body will maintain a state of constant rotational motion unless acted on by an external torque.
Angular law of acceleration:
· Net torque produces angular acceleration of a body that is:
· Directly proportional to magnitude of torque.
· In the same direction as the torque.
· Inversely proportional to the body’s moment of inertia.
Angular law of action-reaction:
For every angular action there is an equal and opposite angular reaction exerted by the second body on the first.
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