🔍 Key Concepts

• Transverse Center of Gravity (TCG) is found from the relationship between total transverse moment and total weight • A moment is equal to weight × distance (W × d) from a reference line • To solve for a distance when you know moments and weights, you rearrange the basic formula

💭 Think About

• Start from the basic moment formula: Moment = Weight × Distance. If you want Distance (TCG), how do you rearrange that equation? • Think about what the "sum of the transverse moments" represents and what the "sum of the weights" represents in a weighted-average type calculation. • Ask yourself: if you increase all weights but keep the same transverse distances, what operation with the sum of weights would keep TCG in the correct distance units (feet or meters), not make it too large or with wrong units?

✅ Before You Answer

• Write the formula in symbols: TCG = ? using ΣM (sum of moments) and ΣW (sum of weights). Check which operation gives you distance units. • Confirm that the operation you choose will result in units of length (e.g., ft or m), not weight or moment units. • Make sure the operation is consistent with how you calculate LCG (Longitudinal Center of Gravity) and VCG (Vertical Center of Gravity) from their respective moments and weights.