Y15 ch10
1
Ch 10
Angular Momentum
•
(Recall) The torque of a force describes the tendency of
the force to cause or change rotational motion of the body
on which the force acts.
τ
=
F l
=
F r
sin
ϕ
=
F
tan
r,
τ
=
r
×
F
•
Angular acceleration of a rigid body is proportional to
the sum of the torques acting on it
;
the proportionality con-
stant is given by the moment of inertia (for motions with
fixed direction of the axis of rotation).
α
=
1
I
τ
tot
,
(
τ
tot
=
I
α
)
,
τ
tot
=
τ
tot,external
The sum of the torques of all forces acting on a rigid body
is equal to the sum of the torques of external forces acting
on it.
Another form of this: If rotation about
z
-axis then
τ
tot
z
=
I
α
z

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