$$\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$

question 136

Multiple Choice

$$\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$
- $r ( t ) = ( 5 \cos 3 t ) i + ( 5 \sin 3 t ) j + 15 t k , 0 \leq t \leq 2 \pi ; \delta ( x , y , z ) = 3 ( 1 + \sin 3 t \cos 3 t )$

• A) \(\left( 0,0 , \frac { 3 } { 2 } \pi \right)\)
• B) \(\left( 0,0 , \frac { 15 } { 2 } \pi \right)\)
• C) \(\left( 0,0 , \frac { 5 } { 4 } ( 12 \pi - 1 ) \right)\)
• D) \(\left( 0,0 , \frac { 3 } { 2 } ( \pi + 1 ) \right)\)

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