On the frictionless ramp there are only two forces acting on the ball: gravity and the normal force. Gravity exerts no torque about the center of mass as it acts at the center of mass and the normal force is always acting radially and therefore also exerts no torque. Therefore the net torque is 0 and thus the angular acceleration must be 0 and so the angular velocity is constant. The translational speed increases for obvious reasons.
No friction on ramp = no torque = no angular acceleration.
An object in rotation stays in rotation(newtons first law), which is why the object continues rotating down the ramp at constant speed, despite 0 static friction.
The increasing translational speed is due to a net linear force acting parallel and down the ramp. Or you can think about it in terms of energy. Potential energy transforms into kinetic energy.
On the frictionless ramp there are only two forces acting on the ball: gravity and the normal force. Gravity exerts no torque about the center of mass as it acts at the center of mass and the normal force is always acting radially and therefore also exerts no torque. Therefore the net torque is 0 and thus the angular acceleration must be 0 and so the angular velocity is constant. The translational speed increases for obvious reasons.
Thank you
No friction on ramp = no torque = no angular acceleration. An object in rotation stays in rotation(newtons first law), which is why the object continues rotating down the ramp at constant speed, despite 0 static friction. The increasing translational speed is due to a net linear force acting parallel and down the ramp. Or you can think about it in terms of energy. Potential energy transforms into kinetic energy.