Question

Please answer the question in details

2) The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P? A) A B) B C) C E) The moment of inertia is the same for all of these objects

Answer 1

The moment of inertia of the C is greater than moment of inertia of A because of its size and mass assuming the object to be solid spheres or discs I = (1/2) Mr62

Now the wheel which is circular hoop with spokes has less mass so it has less moment of inertia due to mass I- Mr^2

Moment of inertia of the bar is I = (1/12) M r^2

So, option (b) is the right answer