Two solid spheres simultaneously start rolling (from rest)

Step 1 of 6

The torque acting on the solid sphere moving down the inclined plane is,

……(1)

Where  is the moment of inertia and is the angular acceleration,

Let be the length of the inclined plane, be the force acting on the solid sphere towards the downward of the inclined plane,  is the radius of the solid sphere, and is the mass of solid sphere,

Then, the torque in terms of the force is .

The angular acceleration in terms of the linear acceleration and radius of solid sphere is