question_answer

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be :-

[JEE Main 8-4-2019 Afternoon]

A)  \[\left( \frac{2a}{3},\frac{2b}{3} \right)\]            

B)  \[\left( \frac{5a}{3},\frac{5b}{3} \right)\]

C)  \[\left( \frac{3a}{4},\frac{3b}{4} \right)\]

D)       \[\left( \frac{5a}{12},\frac{5b}{12} \right)\]

Correct Answer: D

Solution :

[d]