Practice question
Question
A uniform rectangular plate of dimensions 3m×5m and mass 12kg has one corner at (1,1) 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: (1,1),(4,1),(1,6),(4,6). CM: X = 1+32 = 2.5, Y = 1+52 = 3.5. Position: (2.5,3.5)m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to (2.5,3.5). This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.