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Standard XII

Physics

Moment of Inertia of a Rod

An object com...

Question

An object comprises of a uniform ring of radius $R$ and its uniform chord $A B$ (not necessarily made of the same material) as shown. Which of the following can not be the centre of mass of the object :

(R / 3, R / 3)

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(R / 3, R / 2)

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(R / 4, R / 4)

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(R / \sqrt{2}, R / \sqrt{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 $(\frac{R}{3}, \frac{R}{2})$

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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 :

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)

An object comprises of a uniform ring of radius $R$ and its uniform chord $A B$ (not necessarily made of the same material) as shown. Which of the following can not be the centre of mass of the object :

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 $(\frac{R}{3}, \frac{R}{2})$