Practice question
Question
A uniform rectangular lamina of dimensions 2m×4m and mass 10kg has one corner at the origin along the x- and y-axes. What is the position of its center of mass?
Explanation
For a uniform rectangle, the center of mass is at the centroid. Vertices: (0,0),(2,0),(0,4),(2,4). CM: X = 0+22 = 1, Y = 0+42 = 2. Position: (1,2)m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to (1,2). This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.