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Questions  

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The coordinates of the same are shown in figure) are :

a
(1.25m, 1.50m)
b
(0.75m, 0.75m)
c
(0.75m, 1.75m)
d
(1m, 1.75m)

detailed solution

Correct option is C

Coordinates of two shaded parts having equal area and mass are 0.5 , 1 and1 , 2.5​In vector form, r→cm=m1r1^+m2r2^m1+m2​⇒r→cm=2×i∧2+j∧+2×i∧+5j∧24   ⇒ r→cm=34i∧+74j∧​Hence coordinates of COM is 0.75 , 1.75

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