Three point masses 1 . 0 kg , 1 . 5 kg and 2 . 5 kg are placed at the vertices of a right-angle triangle of…

Three point masses 1.0 kg1.5 kg and 2.5 kg are placed at the vertices of a right-angle triangle of sides  4.0 cm3.0 cm and 5.0 cm, as shown in the figure. The centre of mass of the system is


  1. 0.cm right and 2.cm above kg mass
  2. 2.cm right and 0.cm above kg mass
  3. 0.cm right and 2.cm above kg mass
  4. 1.cm right and 1.cm abovekg mass

Solution

Let us assume that the origin of the coordinate system is at the location of 1kg mass, then

xcm=1×0+1.5×3+2.5×05=0.9 cm
ycm=1×0+1.5×0+2.5×45=2 cm

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