Physics Department
PHYS 1P21/91
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Introduction
Kinematics
Dynamics
Work+Energy
Rotational Motion
Momentum
Oscillations+Waves
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1P91_Sternin
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RotationalMotion
Introduction
Kinematics: motion in one and two dimensions
Dynamics
Work and energy
Rotational motion
Kinematics of rotational motion
angular displacement, velocity, acceleration
Ex
:
two satellites in orbit
kinematic equations
are analogous to the
linear motion
Ex
:
a watch
Ex
:
a fan changing speeds
Ex
:
a rolling tire
Ex
:
"crack-the-whip"
or
"wrack-your-brains"
vector nature of the angular velocity:
right-hand-rule
convention
centripetal acceleration for a uniform circular motion
Ex
:
tight and gentle turns
non-uniform circular motion: \( \vec{a} = \vec{a}_t + \vec{a}_c \) (
a model plane
,
a discus thrower
)
Ex
:
a two-speed fan
, another expression for
a
c
Dynamics of uniform rotation
Ex
: a model airplane,
F
c
=T
comes from tension in the wire
Ex
: a turning car,
F
c
=f
s
comes from friction
Ex
: an orbiting satellite,
F
c
comes from gravity
Ex
: a banked road,
F
c
comes from the normal force
Ex
:
friction
vs
. banking
The Turn
, by William Langewiesche; also as a
PDF file
Torque
Ex
:
holding up a briefcase
(
free-body diagram
)
Ex
:
a diving board
Ex
:
balancing a tray
center of gravity
Ex
:
do you know where your c.o.g. is?
(
oops
)
Moment of inertia depends on
where the axis is
N2L for rotations
Ex
:
Hoisting a crate
Ex
:
Atwood machine revisited
Work and kinetic energy
Ex
:
rotational work and kinetic energy
Ex
:
Prof. Lewin at MIT racing hollow and solid cylinders down an incline
Linear and angular momentum
Oscillations and waves
1812 Sir Isaac Brock Way
St. Catharines, Ontario, L2S 3A1
Phone: +1.905.688-5550
ext.
3412
Email:
physics@brocku.ca
Fax: +1.905.984-4857
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Updated: 26-Mar-2020 04:46