To solve this problem, we need to find the ratio of accelerations for two scenarios:$\\$1. A solid sphere rolling down an incline without slipping.$\\$2. A solid sphere slipping down the incline without rolling.$\\$Let's analyze each case:$\\$• For the sphere rolling without slipping:$\\$The forces acting on the sphere are gravitational force, normal force, and friction.$\\$The frictional force provides the torque necessary for rolling.$\\$