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UP TGT Mathematics Integration Test Series - Part 1

The center of mass of a wire of variable density ρ(x) along [a, b] is given by:

Type: MCQ • Marks: 1
The center of mass of a wire of variable density ρ(x) along [a, b] is given by:
Options
A. ∫ x ρ(x) dx
B. ∫ ρ(x) dx / b
C. Zero
D. (∫ x ρ(x) dx) / (∫ ρ(x) dx)
Explanation
Center of mass formula for mass distribution: x_cm = (∫ x dm) / (∫ dm).
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