3. A solid sphere of mass m and radius r moves along a track with a circular loop of radius R₁ as shown in following picture. It is released at height h. Assuming that the track has no friction, the ball therefore
slides down without rotation. Do not ignore the finite size of the sphere, what is the minimal value of h such that the sphere remains on the track at all times?

(A) 2.5R − 1.5r
(B) 2R − r
(C) 2.5R
(D) 2R + r
(E) 2R − 1.5r