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Four point particles of masses 1.0 kg, 1...

Four point particles of masses 1.0 kg, 1.5 kg, 3.0 kg and 2.5 kg are placed at four corners of a rectangle of sides 4.0 cm and 3.0 cm as shown in the figure. The centre of mass of the system is at a point:

A

1.2 cm right and 2.3 cm above 1kg mass

B

2.1 cm right and 3.2 cm above 1kg mass

C

1.3 cm right and 2.1 cm above 1kg mass

D

1.7 cm right and 2.8 cm above 1kg mass

Text Solution

Verified by Experts

The correct Answer is:
D

Take origin at 1kg mass, y= vertical, x= horizontal
`X_(cm)= (1 xx 0 + 1.5 xx 3 + 2.5 xx 0 + 3.0 xx 3)/(8) cm= 1.7cm, Y_(cm)= (1 xx 0 + 1.5 xx 0 + 2.5 xx 4 + 3.0 xx 4)/(8) cm= 2.8cm`
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