gravity tunnel through earth
classical physics – problem 5: shm inside a uniform-density planet, tunnel through the centre.
planet parameters
R =
6.37e6
m, g =
9.81
m·s⁻²
radius R (m)
surface gravity g (m·s⁻²)
use earth preset for approximate R and g
🌍 earth preset
amplitude and initial condition
A/R =
0.70
, A =
4.46e6
m
amplitude ratio A / R
start at rest: x(0) = A, v(0) = 0
cross centre with max speed: x(0) = 0, v(0) = +Aω
time evolution options
ω =
0.00
s⁻¹, T =
0.00
s
show v(t)
show a(t)
planet cross-section
– tunnel and oscillating mass
acceleration vs position
– a/g vs x/R
time evolution
– x/R, v/(ωR), a/g