Center of Gravity Finder
Calculate CoG, stability, and optimal lifting points
Center of Gravity Finder
Calculate the optimal center of gravity for multi-piece cargo assemblies. Determine stability margins, tipping angles, and recommended lifting points for safe handling operations.
meters
kilograms
Origin at front-left-bottom
Center of Gravity
(1.0, 0.8, 0.5)
Total Weight
5000 kg
Tipping Angle
63.4°
Stability
stable
The Center of Gravity (CoG) is the imaginary point at which the total weight of a body is assumed to be concentrated. For practical purposes, it is the point at which the object would balance perfectly if placed on a single support.
In project cargo and heavy lift operations, knowing the exact CoG location is critical for safe lifting, transport, and cargo securing operations. An incorrectly calculated CoG can lead to cargo damage, equipment failure, or serious accidents.
Crane Operations
Hook must be positioned directly above CoG for stable lifting
Transport Stability
Lower CoG means better stability on trucks, ships, and rail
Tipping Prevention
CoG position determines tipping angles during handling
# For multiple cargo pieces:
X = Σ(mᵢ × xᵢ) / Σmᵢ
Y = Σ(mᵢ × yᵢ) / Σmᵢ
Z = Σ(mᵢ × zᵢ) / Σmᵢ
Where mᵢ is the mass of each piece and xᵢ, yᵢ, zᵢ are the center coordinates
The tipping angle is the maximum angle at which cargo can be tilted before it becomes unstable and tips over. It is determined by the relationship between the CoG height and the base dimensions.
Formula:
θ = arctan(base/2 ÷ CoG_height)
A higher CoG results in a smaller tipping angle, meaning the cargo is less stable and requires more careful handling.
Very stable - safe for standard handling operations
Requires caution - additional securing may be needed
High risk - special precautions required
Verify CoG Position
Confirm calculated CoG matches actual cargo characteristics
Position Hook Correctly
Crane hook must be directly above the CoG for stable lift
Test Lift First
Perform short test lift to verify balance before full operation
Use Adequate Rigging
Select slings and equipment with proper SWL ratings
- •Measure dimensions and weights as accurately as possible
- •Consider non-uniform weight distribution in complex cargo
- •Add a safety margin to calculated CoG height for unknowns
- •Document CoG position on cargo for future reference
- •Use tilt test to verify theoretical calculations when possible
- •Consider dynamic forces during lifting and transport
- ✗Assuming geometric center equals CoG
- ✗Ignoring the effect of accessories and attachments
- ✗Not accounting for liquids or shifting contents
- ✗Using manufacturer specs without verification
- ✗Neglecting CoG height in stability assessment
- ✗Overlooking asymmetric loading in multi-piece cargo