Solving Angular Acceleration: Tips and Help for Inclined Planes and Formulas

[tidus1117]

Homework Statement

http://img166.imageshack.us/img166/6047/cilinderox6.jpg

Homework Equations

Tangent Acceleration, Linear Acceleration

The Attempt at a Solution

I tried to made a free body diagram but i got confused with the inclined plane I am stuck there. Also with the Formulas for the accelerations...

PLEASE SOMEONE HELP ME!

 

[jmarcian]

ok I've been thinking about this and i think it might be two questions in one.

first, to analyze the linear motion of the center of the circle G. i would just treat the center as a particle, and use F=ma. draw out your FBD, use that 5-12-13 triangle instead of trig functions but in the same manner, that should get you the linear acceleration.

the second part is where i am getting confused. does the center of a circle have a angular acceleration? because the first derivation of angular acceleration would be displacement, S=(theta)(radius), but here radius is equal to zero, and therefore we have no S and therefore, no angular acceleration...


just an idea...

 

[thomate1]

I would suggest breaking down the problem into smaller, more manageable parts. First, draw a free body diagram for the object on the inclined plane, labeling all the forces acting on it (e.g. gravity, normal force, friction). This will help you visualize the problem and identify any components that may be causing confusion.

Next, use the appropriate equations for the forces in the direction of motion (e.g. F=ma for linear acceleration). Keep in mind that for an inclined plane, the force of gravity will have a component parallel to the plane and a component perpendicular to the plane. You can use trigonometric functions to determine these components.

For angular acceleration, you can use the equation τ=Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration. The moment of inertia can be calculated using the mass and dimensions of the object.

Overall, it's important to take your time and carefully consider each component of the problem. If you're still stuck, don't hesitate to reach out for additional help from your teacher or classmates. Good luck!