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  • Two plates of the same thickness and same material are arranged as shown in the diagram. The dimensions are as shown in the diagram. Find the position of the centre of mass with reference to the or

Two plates of the same thickness and same material are arranged as shown in the diagram. The dimensions are as shown in the diagram. Find the position of the centre of mass with reference to the origin.

 

Option: 1

(7a/12, 0 )


Option: 2

(5a/72,0)


Option: 3

(6a/32,0 )


Option: 4

(29,0)


Answers (1)

best_answer

 Let the mass of square plate be M then the mass of rectangular plate is 

\frac{M}{a^2} \times \frac{a^2 }{4\times 2} \Rightarrow M/8 \\\\Now \\ x _{cm} = \frac{m_1x_1+m_2x_2}{m_1+m_2}

x_{cm}=\frac{M\times0+M/8(5a/8)}{M+M/8}

x_{cm} = 5a/72 \: \: \: y_{cm} = 0

 

 

 

Posted by

Suraj Bhandari

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