An object comprises of a uniform ring of radius R and its uniform chord AB (not necessarily made of the same material) as shown. Which of the following can not be the centre of mass of the object :
A
(R/3,R/3)
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B
(R/3,R/2)
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C
(R/4,R/4)
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D
(R/√2,R/√2)
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Solution
The correct option is C(R/3,R/2) Since the chord is a uniform chord and the center of mass coordinate of system will be displaced in x and y coordinate by same value. Hence X and Y coordinate will be same . So the wrong aption is (R3,R2)