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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 1 kg mass

B

2.1 cm right and 3.2 cm above 1 kg mass

C

1.3 cm right and 2.1 cm above 1 kg mass

D

1.7 cm right and 2.8 cm above 1 kg mass

Text Solution

Verified by Experts

The correct Answer is:
D

Take origin at 1 kg mass, y = vertical, x = horizontal
`X _(cm) = (1xx0 + 1.5 xx3 + 2.5xx0+3.0 xx3)/(8)cm =1.7 , Y_(cm) = ( 1xx0+ 1.5 xx0 + 2.5 xx4+ 3.0 xx4)/(8) cm = 2.8 cm`
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