Above a certain slope angle, the cylinder will stop rolling and slide. Find the angle.MatthewQueen said:we arent considering air resistance
For a sliding box this is true, but for the cylinder that friction force is used to increase the angular kinetic energy, so the heat loss would be less than fs.IPhO' 2008 said:The kinetic energy that lost to heat is fs, where f is the friction, s is the distance
Both linear and angular kinetic energy increase as gravitational potential energy decreases (as the cylinder rolls and slips down the incline). The question is how much energy is lost due to friction as heat for a given coefficient of dynamic friction and slope angle? Then again, if the answer is to simply know that the total energy of the cylinder will less in the case when friction converts some of the potential energy into heat, then knowing the exact amount of the loss isn't needed to answer the original question.IPhO' 2008 said:I think the increasing angular kinetic energy caused by the decreasing potential energy of the cylinder.
The mass of the cylinder affects its rolling down an incline by determining its acceleration rate. A heavier cylinder will have a greater force of gravity pulling it down the incline, resulting in a faster acceleration compared to a lighter cylinder.
The angle of the incline affects the speed and distance that the cylinder will roll. A steeper incline will result in a greater force of gravity pulling the cylinder down, resulting in a faster speed and longer distance rolled.
Yes, the shape of the cylinder can affect its rolling down an incline. A cylinder with a larger diameter will have a greater surface area in contact with the incline, resulting in more friction and a slower speed. A cylinder with a smaller diameter will have less surface area and less friction, resulting in a faster speed.
The surface of the incline can affect the rolling of a cylinder by providing more or less friction. A rough surface will result in more friction and a slower speed, while a smooth surface will result in less friction and a faster speed. The material of the surface can also affect the amount of friction.
Other factors that can affect the rolling of a cylinder down an incline include air resistance, the shape and weight distribution of the cylinder, and any external forces acting on the cylinder. Additionally, the temperature and humidity of the environment can also affect the friction between the cylinder and the incline.