Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A uniform disc of mass rolls without slipping down a slope at . Taking , find its acceleration, the friction on it, and the least coefficient of static friction needed.
Rolling without slipping: . Kinetic energy: . Down a slope: and ; static friction does no work.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Acceleration. .
Step 2. Friction. , up the slope.
Step 3. Coefficient. , which is .
Answer: ; ; .
Check. The friction's torque must equal , so . Same.
Watch out. Static friction makes the disc turn but does no work, because the contact point does not slide.
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