AIPMT MAINS2012Physics-System of Particles

AIPMT MAINS 2012 Physics Center of Mass MCQ Question

Type: MCQ-numerical-Medium-Class 11

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:

A

40 cm

B

45 cm

C

50 cm

D

30 cm

Correct Answer

Option A

Detailed Explanation

The center of mass X_cm is calculated using the formula X_cm = (Σm_ix_i) / Σm_i. Substituting the given values, X_cm = (300×0 + 500×40 + 400×70) / (300 + 500 + 400) = 40 cm.

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