0 rad s⁻¹
2.0 kg
1 kg
5 kg
Trajectory independent of mass.
Model constants
g = 9.81 m s⁻²
Rₑ = 6.37 × 10⁶ m
Rotation period
Arrows share one force scale. Dashed red Fc: resultant, offset for clarity.
Current values
Centripetal acceleration
mg
=
Fc
=
N
=
The bars represent actual force magnitude.
Changing mass changes the numerical force values and the bar lengths.
Fc is the resultant of weight and normal reaction, not an extra force.
Steady rotation states; speed changes omit tangential acceleration. Motion is sped up. Displayed values are rounded.
Changing mass changes the numerical force values and the bar lengths.
Fc is the resultant of weight and normal reaction, not an extra force.
Steady rotation states; speed changes omit tangential acceleration. Motion is sped up. Displayed values are rounded.
THRESHOLD
Fc = ma =
mg − N
Fc = mω²R
N =
mg − Fc
Live calculation
Beyond Contact
CONTACT LOST · N = 0
ESCAPE SPEED
Contact lost · motion paused
Beyond Contact begins at the contact-loss threshold.
Current state
Distance from centre
Object speed
Gravitational acceleration
a = g(Re/r)2
Gravitational force
Fg = ma = mg(Re/r)2
Normal reaction after contact is lost
N = 0
Initial conditions at contact loss