Particle inside a smooth sphere
Classical Physics – Problem 1: motion on the inner surface, speed and normal reaction vs angle.
initial speed ratio v / √(rg)
v/√(rg)
2.00
v =
?
m·s⁻¹
thresholds:
√2 ≈ 1.41
,
√5 ≈ 2.24
sphere radius r
r
1.50
m
geometric scale set by r
gravitational acceleration g
g
9.80
m·s⁻²
small-angle period
≈
?
s
play
t =
0.000
s
show forces (weight & normal)
contact:
in contact
geometry
– motion inside the sphere
angle view
– speed u(θ) and normal reaction R(θ)
time view
– θ(t) and speed u(t)