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YZ
Numerade Educator

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Problem 42 Hard Difficulty

Center of mass and moments of inertia for wire with variable density Find the center of mass and the moments of inertia about the coordinate axes of a thin wire lying along the curve
$$
\mathbf { r } ( t ) = t \mathbf { i } + \frac { 2 \sqrt { 2 } } { 3 } t ^ { 3 / 2 } \mathbf { j } + \frac { t ^ { 2 } } { 2 } \mathbf { k } , \quad 0 \leq t \leq 2
$$
if the density is $\delta = 1 / ( t + 1 )$

Answer

$=\frac{56}{9}$

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Video Transcript

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YZ
University of Illinois at Urbana-Champaign
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