How Fast Does a Cylinder Roll Down an Inclined Plane?

AI Thread Summary
To determine the linear speed of a solid cylinder rolling down a 15-degree inclined plane, conservation of energy principles should be applied. The cylinder's potential energy at the top converts into both translational and rotational kinetic energy at the bottom. The relevant equations include the moment of inertia I = 0.5MR^2 and the total kinetic energy expression for a rolling object. The mass of the cylinder is 3.0 kg, and the height of the ramp is 1.2 m. Using these values, the final linear speed can be calculated effectively.
irony416
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Homework Statement


Problem:

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15 degrees, and rolls to the bottom without slipping. (I = 0.5MR^2). The upper end of the ramp is 1.2 m higher than the lower end. Find the lindear speed of the cylinder when it reaches the bottom of the ramp.

Homework Equations



Equations:
I = 0.5MR^2 = 0.6

The Attempt at a Solution


Do I use angular momentum here? Really have no idea. Thanks.
 
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Use conservation of energy. What is the kinetic energy of a rigid body that both translates and rotates?
 
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