Physics · System of Particles and Rotational Motion
A rod of length L is placed along the X-axis between x = 0 and x = L. The linear density (mass/length) ρ of the rod varies with the distance x from the origin as ρ = a + bx. The coordinates of the center of mass of this rod in terms of 'a', 'b' and 'L' are:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1[ 3a + 2bL6aL + 3bL2, 0, 0 ]
- 2[ a + 3bL22a + 6bL, 0, 0 ]
- 3[ 3aL2 + 2bL36a + 3bL, 0, 0 ]✓
- 4[ 3aL + 2bL26a + 3bL, 0, 0 ]
Correct answer
[ 3aL2 + 2bL36a + 3bL, 0, 0 ]
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