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  • A solid hemisphere (A) and a hollow hemisphere (B) Each having mass are placed as shown in diagram.What is the y-coordinate<br

A solid hemisphere (A) and a hollow hemisphere (B) Each having mass M are placed as shown in diagram.What is the y-coordinate
of the centre of mass of system

 

Option: 1

\frac{R}{16}


Option: 2

-\frac{R}{16}


Option: 3

\frac{R}{5}


Option: 4

-\frac{R}{5}


Answers (1)

best_answer

 

 

For - A

OA_1=r_1= \frac{3R}{8}

For - B

OB_1=r_2= \frac{-R}{2}

 

So using, y_{cm}=\frac{m_{1}y_{1}+m_{2}y_{2}}{m_{1}+m_{2}}

y_{cm}=\frac{m_{1}r_{1}+m_{2}r_{2}}{m_{1}+m_{2}}=\frac{M \times \frac{3R}{8}+M\times \left ( \frac{-R}{2} \right )}{2M}=-\frac{1}{16}R

Posted by

Ritika Harsh

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