ABC is an equilateral triangular lamina. D and E are midpoints of AB and AC, and G is the centroid. The moment of inertia about an axis through G perpendicular to the plane is I₀. If triangle ADE is removed, the moment of inertia of the remaining part about the same axis is (N I₀)/16. Find the integer N.
Physics · Rotational Motion · moment of inertia and kinetic energy in pure rotation
ABC is an equilateral triangular lamina. D and E are midpoints of AB and AC, and G is the centroid. The moment of inertia about an axis through G perpendicular to the plane is I₀. If triangle ADE is removed, the moment of inertia of the remaining part about the same axis is (N I₀)/16. Find the integer N.
