Horizontal Circular Motion
Vertical Circular Motion
Gravity & Satellites
FREE BODY & VECTOR ANALYSIS DIAGRAM
View Controls
Zoom Level
1.50x
Track Zoom (Top View)
1.40x
Vector Zoom (Bottom View)
1.30x
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Reset View & Position
Vehicle & Road Parameters
Velocity (
v
)
30.0 m/s
Radius (
r
)
100.0 m
Mass (
m
)
1000 kg
Banked Curve
Bank Angle (θ)
15.0°
Realistic Friction Direction: OFF
Normal Force (
F
N
)
9810.0 N
Friction Enabled
Static Friction (
F
S
)
0.0 N
Equations & Data
F
c
=
m
·
v
2
r
F
c
=
F
S
cos(θ)
+
F
N
sin(θ)
a
c
=
v
2
r
F
g
(Weight):
0 N
F
N
(Normal):
0 N
F
N
sin(θ):
0 N
F
N
cos(θ):
0 N
F
S
(Friction):
0 N
F
S
cos(θ):
0 N
F
S
sin(θ):
0 N
Bucket Parameters
Velocity Profile: Constant Speed (Uniform)
Active Input Control
v_top (Speed at Top)
v_bottom (Speed at Bottom)
Velocity Top (
v
top
)
5.00 m/s
Velocity Bottom (
v
bottom
)
5.00 m/s
String Radius (
r
)
2.5 m
Total Mass (
m
)
2.000 kg
Calculations
v
min,top
=
g
·
r
F
N,top
=
m
·
v
top
2
r
−
m
·
g
F
N,bottom
=
m
·
v
bottom
2
r
+
m
·
g
E
kin
=
1
2
m
·
v
2
E
pot
=
m
·
g
·
h
Orbital Body & Altitude
Central Body
Mercury
Venus
Earth
The Moon (Earth)
Mars
Jupiter
Europa (Jupiter)
Saturn
Titan (Saturn)
Uranus
Neptune
Altitude (
h
)
2000 km
Satellite Mass (
m
)
1000 kg
Gravitational Data
F
c
=
m
·
v
2
r
F
g
=
G
·
M
·
m
r
2
F
c
=
F
g
v
orbit
=
G
·
M
r
g
(
h
)
=
G
·
M
r
2