Without friction, the rotational energy doesn't go anywhere. The disk keeps rotating at whatever angular velocity it had when it entered the frictionless surface.Shahid0072 said:But where is that rotational kinetic energy go? Will it be wasted? If yes,how? There is no dissipative force present!
You forgot about gravity. And don't forget that in some situations--like this one--friction can actually help you go higher.near said:theoretically speaking based from the situation disc B would certainly the one that would gain the greater height because according to Newton's 1st law of motion, "a body that stays at rest remains at rest and if it is moving, it will move at a constant speed." in this case disc B will experience no external forces that may cause it to accelerate nor to deccelerate like frictional force which is present on disc A. thus it will move at a constant speed and it will never stop until reaches the highest point.
When they hit the slope, A experiences friction but B does not. That makes a difference.dE_logics said:Under ideal situations both will attain the same height considering the fact that the disks are not accelerating/de accelerating by virtue of their rotating motion.
When A goes up that slope, it rolls and so there's no friction stopping it's motion...only gravity is doing that. Same is the case with disk B.
You are correct.Shahid0072 said:thanks for replying all...doc is right ...friction helps in disc A in attatining more height as rotational kinetic energy is utilised and in case of disk B only translation kinetic energy is utilised...doc Al ..can u please correct me if i am wrong!
The only change I'd make would be to account for the angle of the incline: Use mg sinθ, instead of mg.when disk A of mass M goes up an incline,equations of motion are (assuming friction is enough for rolling without slipping)
translation:Mg-friction(f)=ma
rotation:fR=mR^2/2 * a/r
Absolutely.Shahid0072 said:and friction is acting upwards..
The main factors that affect an object's ability to attain height include its initial velocity, mass, air resistance, and gravitational force. These factors determine how much force is needed to overcome gravity and how much resistance the object will face while moving through the air.
Yes, the shape of an object can greatly impact its ability to attain height. Objects with a streamlined shape, such as a rocket or airplane, experience less air resistance and can attain greater heights compared to objects with irregular shapes.
Air density plays a significant role in determining an object's ability to attain height. In areas with high air density, such as near sea level, objects will experience more air resistance, making it harder to attain height. In contrast, in areas with low air density, such as at high altitudes, objects will face less air resistance and can attain greater heights.
Objects with greater initial velocities and lower mass will generally attain more height compared to objects with lower initial velocities and higher mass. This is because they have more kinetic energy to overcome the force of gravity. Additionally, objects with a more streamlined shape and in areas with lower air density will also attain more height.
Air resistance is a force that opposes the motion of an object through the air. It increases with the speed and surface area of the object, making it harder for the object to attain height. Objects with a streamlined shape and in areas with lower air density will experience less air resistance, allowing them to attain greater heights.