Q.

A uniformly thick plate in the shape of an arrow head has dimensions as shown. The centre of mass lies at a point
 

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a

1 cm to the right of O

b

1.5 cm to the right of O

c

3 cm to the right of O

d

O itself

answer is D.

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Detailed Solution

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COM of an isosceles triangle is on median and  h/3 above the base.

So, COM of bigger triangle is 3 cm from base and that of lower (hollow ) triangle is 1 cm. Calculating COM of the system. (hollow triangle is considered as negative mass )


From the base i.e. , 1 cm to right of O.X component of centre of mass of OAB

3(3m)+1(-m)2m=4
4 cm from origin, i.e 1cm to the right of O

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