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Lectures
Informal sessions:
o
Tu 3:30-4:20pm, RAS 218;
o
Fri 4-4:50pm, ECJ
1.204.
Lecture 28 (iq24) Dynamics of a rigid-body-III
Trans. Q’s |
Rot. Q’s |
Cir. motion |
Rigid-body |
K=1/2 mv2 |
|
K=1/2 mr2w2 |
K=1/2 Iw2 |
Mom. |
Rot. Mom. Ang-mom:L |
|
|
p=mv |
L=r^p |
L= rmv =mr2w |
L = Iw |
Force |
Rot. force Torque: t |
|
|
F = ma |
t=r^F= r^ma |
t = mr2a |
t = Ia |
F=dp/dt |
t=d(r^p)/dt |
t = dL/dt |
t = dL/dt |
Demos:
§
Torque=lever arm
* force
§
Conservation of
angular mom.
§
Gyroscope
Rotational quantities as vectors: Cross
product
Precession of a bike-wheel gyroscope
Reminders: