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  • A hollow cone and a hollow semicircular shell are placed as shown in the diagram. Each has mass M . What is the y-coordinate of COM of system  <img alt="" src="https://cdn.entrance36

A hollow cone and a hollow semicircular shell are placed as shown in the diagram. Each has mass M . What is the y-coordinate of COM of system 

Option: 1

\frac{10}{13}R


Option: 2

\frac{5}{7}R


Option: 3

\frac{3}{7}R


Option: 4

\frac{13}{12}R


Answers (1)

best_answer

 

y_{cm} = \frac{m_1y_1+m_2y_2}{m_1+m_2}\\\\ y_{cm} = \frac{M\left ( \frac{2R}{3})+M\left (R+ \frac{R}{2} \right ) \right )}{M+M}

y_{cm} = \frac{\left ( \frac{2MR}{3}+\left (\frac{3MR}{2} \right ) \right )}{2M}\\\\ y_{cm} = \frac{13}{6}\frac{MR}{2M} \Rightarrow y_{cm} = \frac{13}{12}R

 

 

Posted by

vishal kumar

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