A uniform rectangular thin sheet A B C D of mass M has length a and breadth b , as shown in the figure. If…

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:


  1. 5a12,5b12
  2. 5a3,5b3
  3. 2a3,2b3
  4. 3a4,3b4

Solution

If the total mass of object mass M then the mass removed part will be M4 .

XCM=M·a2-M43a4M-M4=Ma2-3Ma163M4=512a
YCM=M·b2-M43b4M-M4=Mb2-3Mb163M4=512b

Asked in: JEE Main 2019 (08 Apr Shift 2)

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