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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: