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#mass distribution

2 public questions tagged with this topic.

Center of Mass and System of Particles

A uniform circular disk of radius 4m and mass 8kg has its center at (−1,3). What is the position of its center of mass?

For a uniform circular disk, the center of mass is at its geometric center. Given center at (−1,3), CM position = (−1,3). As per NCERT, applying relevant law/formula with correct units and sign convention leads to (−1,3). This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Vector Product and Rotational Kinematics

Three particles of masses 2kg, 4kg, and 8kg are at (0,3), (4,0), and (2,5) respectively. What is the y-coordinate of the

Formula: Y = m1y1+m2y2+m3y3m1+m2+m3. Masses: 2,4,8kg; y-coordinates: 3,0,5. Y = (2×3)+(4×0)+(8×5)2+4+8 = 6+0+4014 = 4614≈3.29m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.29 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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