Question

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the system is at a point :

(1) 1.5 cm right and 1.2 cm above 1 kg mass 

(2) 0.9 cm right and 2.0 cm above 1 kg mass 

(3) 0.6 cm right and 2.0 cm above 1 kg mass 

(4) 2.0 cm right and 0.9 cm above 1 kg mass

Answer 1

Answer is (2) 0.9 cm right and 2.0 cm above 1 kg mass

Take 1 kg mass at origin

Answer 2

Answer is (2) 0.9 cm right and 2.0 cm above 1 kg mass

Let 1 kg as origin and x-y axis as shown