(Solved): Consider a sphere, a solid disk and a ring that have the same mass \( m \) and radius \( R \). The ...

Consider a sphere, a solid disk and a ring that have the same mass \( m \) and radius \( R \). They are released from rest from the same starting point to roll down an inclined plane that makes an angle \( \theta \) with the horizontal. Which of the statements is correct? (select all that is correct). Hint: I Sphere \( =(2 / 5) m R^{2}, I_{\text {disk }}=(1 / 2) m R^{2}, I_{\text {ring }}=m R^{2} \) The sphere will reach the bottom first. The magnitude of acceleration is smaller than \( \mathrm{g}^{*} \sin ( \) theta) for all three. The solid disk will reach the bottom first. The magnitude of acceleration is \( \mathrm{g}^{*} \sin \) (theta) for all three. They will have the same total kinetic energy at the bottom of the inclined plane. The ring will reach the bottom first.