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  • A solid hemisphere and a solid cone are placed as shown in the diagram. Each has mass M . What is the y-coordinate of the centre of mass of the system? <img alt="" src="https://cdn.entran

A solid hemisphere and a solid cone are placed as shown in the diagram. Each has mass M . What is the y-coordinate of the centre of mass of the system?

 

 

 

Option: 1

\frac{12}{15}R


Option: 2

\frac{13}{16}R


Option: 3

\frac{5}{12}R


Option: 4

\frac{7}{12}R


Answers (1)

best_answer

 y_{ cm} = \frac{m_1 y_1 + m_2 y_2 }{m_1+m_2}

y_{ cm} = \frac{M\left ( \frac{R}{4} \right ) + M\left ( R+ \frac{3R}{8} \right ) }{M+M}\\\\ y_{cm} = \frac{8MR+44MR}{32\times 2M} \\\\ y_{cm} = \frac{13}{16}R

 

 

 

 

 

 

 

Posted by

Devendra Khairwa

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