JEE MAIN - Physics (2020 - 7th January Morning Slot - No. 23)

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: JEE Main 2020 (Online) 7th January Morning Slot Physics - Center of Mass and Collision Question 81 English
2.0 cm right and 0.9 cm above 1 kg mass
0.9 cm right and 2.0 cm above 1 kg mass
0.6 cm right and 2.0 cm above 1 kg mass
1.5 cm right and 1.2 cm above 1 kg mass

Explanation

JEE Main 2020 (Online) 7th January Morning Slot Physics - Center of Mass and Collision Question 81 English Explanation
Let 1 kg as origin and x-y axis as shown

xcm = $${{1\left( 0 \right) + 1.5\left( 3 \right) + 2.5\left( 0 \right)} \over 5}$$ = 0.9 cm

ycm = $${{1\left( 0 \right) + 1.5\left( 0 \right) + 2.5\left( 4 \right)} \over 5}$$ = 2 cm

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