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Question: The distance of centres of mass of two square plates system a shown from point O. If masses of plate...

The distance of centres of mass of two square plates system a shown from point O. If masses of plates are 2m and m is (their edges are 'a' and '2a' respectively)-

A

a2\frac{a}{2}

B

a

C

3a2\frac{3a}{2}

D

2a3\frac{2a}{3}

Answer

a

Explanation

Solution

xcm=2m×a2+m×2a3mx_{cm} = \frac{2m \times \frac{a}{2} + m \times 2a}{3m} = a

ycm=2m×a2ma3my_{cm} = \frac{2m \times \frac{a}{2} - ma}{3m}= 0