Calculating Angular Acceleration of a Rolling Cylinder on an Incline

In summary, the angle of incline affects the motion of a cylinder by increasing its acceleration when steeper, and the mass of the cylinder does not affect its motion on an incline without friction. The cylinder can roll up an incline if it has enough initial velocity and momentum, but will eventually roll back down due to gravity. Friction between the cylinder and incline will cause it to slow down and stop, and the shape of the cylinder does not significantly affect its motion unless the diameter is larger, causing more rolling resistance.
  • #1
Truls
3
0
A cylinder rolling down an incline.Moment of Interia is I
And the cylinders mass is m
Velocity is: v
And cylinder radius: r

Angel on the incline: yhttp://img122.imageshack.us/img122/8756/cylpz9.jpg

How do i calculate the cylinders angular acceleration?
 
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  • #2
ma=mg*[tex]\\siny[/tex]

a=g*[tex]\\siny[/tex]

angular acceleration:[tex]\alpha[/tex]=a/r

Im i right?
 
Last edited:
  • #3
Anyone? :confused:
 

1. How does the angle of the incline affect the motion of the cylinder?

The steeper the incline, the faster the cylinder will accelerate down the incline due to the increased force of gravity pulling it down.

2. What is the relationship between the mass of the cylinder and its motion on an incline?

The mass of the cylinder does not affect its motion on an incline as long as there is no friction present. This is because the force of gravity is the same for all objects regardless of their mass.

3. Can the cylinder roll up an incline?

Yes, if the incline is not too steep and the cylinder has enough initial velocity and momentum, it can roll up the incline. However, it will eventually slow down and roll back down due to the force of gravity.

4. How does friction affect the motion of the cylinder on an incline?

Friction between the cylinder and the incline will cause the cylinder to slow down and eventually come to a stop. The amount of friction depends on the surface material and the weight of the cylinder.

5. How does the shape of the cylinder affect its motion on an incline?

The shape of the cylinder does not significantly affect its motion on an incline as long as the weight and surface area are the same. However, a cylinder with a larger diameter may have more rolling resistance due to a larger contact area with the incline's surface.

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