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Problem 36 Hard Difficulty

Center of mass of wire with variable density Find the center of mass of a thin wire lying along the curve $\mathbf { r } ( t ) = t \mathbf { i } + 2 t \mathbf { j } +$ $( 2 / 3 ) t ^ { 3 / 2 } \mathbf { k } , 0 \leq t \leq 2 ,$ if the density is $\delta = 3 \sqrt { 5 } + t$


Center of Mass $=(19 / 18,19 / 9,(4 \text { root }(2)) 7)$


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Video Transcript

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University of Illinois at Urbana-Champaign
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