Toms Essay - Measure for Measure - Opinion - New York Times Blog

Toms Essay - Measure for Measure - Opinion - New York Times Blog Tom's dinerの直筆の原稿の写真

8 01 21

\vec{\L_Q} = \vec{r_Q}\cross\vec{p}
\vec{\tau_Q} = \vec{r_Q}\cross\vec{F}
Why 'L' ? SHO and Maxwell's EM
intrinsic spin angular momentum <- no force on the pivot
I ... Impulse = F \delta{t}

Lec 21 | 8.01 Physics I: Classical Mechanics, Fall 1999

8 01 20

Angular Kinetic Energy = 1/2 I \omega^2
Angular Momentum \vec "L" <-> Moment of Inertia "I"
L_(reference point) ... not intrinsic proprety unilke linear momentum
not universally conserved
\vec{F} = \frac{d\vec{p}}{d t}
\vec{L_Q} = \vec{r_Q} \crosss \vec{F} <- \vec\tau_{Q,external} <- torque
"spin angular momentum" intrinsic property indepent of reference point ["spin" <-> rotation about its center of mass]
Only 3 star fates "white dwarf" | "neutron star" | "black hole"
super nova not star, but the outcome of a neutron star formation.

Lec 20 | 8.01 Physics I: Classical Mechanics, Fall 1999

8 01 19

1 / 2 reads and writes "1" one "/2" half
(x,v,t,m(?)) -> (\theta,\omega,\alpha,I(axis))
Parallel Axis Theorem m d^2
Parpendicular Axis Theorem I_z = I_x + I_y

Lec 19 | 8.01 Physics I: Classical Mechanics, Fall 1999

8 01 15
\frac{d \vec{p_{total}}}{d t} = \vec{F_{total,external}}
if \vec{F_{total,external}} is '0' \vec p is conserved

Lec 15 | 8.01 Physics I: Classical Mechanics, Fall 1999

8.02-2 grass seed で field line をトレース

磁界を鉄粉でトレースする場合と違い、+1と+1の電荷によるフィールドも可視化できる

8.02-2 dipole electric field

実質電荷が0でない場合、ex. +3 と -1 の場合は far electric field は r^-2で減衰。0の場合、つまりdipoleの場合はr^-3で減衰。