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QAIPM-2012-Ph-1652: NEET 2012 Physics - Class 11 AIPM-2012-Ph-1652 Solution: Three masses are placed on the x-axis: 300 g at origin 500 g at …
Three masses are placed on the x-axis: 300 g at origin 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is: 40 cm 45 cm 50 cm 30 cm
Multiple Choice Options
- A 40 cm
- B 45 cm
- C 50 cm
- D 30 cm
Step-by-Step Verified Solution
The distance of the centre of mass of the system of
three masses from the origin O is
X C M = m 1 x 1 + m 2 x 2 + m 3 x 3 m 1 + m 2 + m 3
= 300 _ 0 + 500 _ 40 + 400 _ 70 300 + 500 + 400
= 500 _ 40 + 400 _ 70 1200 = 400 [ 50 + 70 ] 1200
= 50 + 70 3 = 120 3 = 40 c m