A cylinder is rolling down a plane which has the angle theta with the horisontal. The cylinder starts from rest at height H. You can assume that the plane has the same static and kinetic coefficient of friction. 1. Draw the free body diagram of the forces acting on the cylinder while rolling, be sure you indicate the direction of the centre of mass 2. Write down an expression for the minimum coefficient of friction which ensures that the cylinder rolls and does not slip 3. The cylinder now rolls onto a flat surface. What is the speed of the centre of mass?

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A cylinder is rolling down a plane which has the angle theta with the horisontal. The cylinder starts from rest at
height H. You can assume that the plane has the same static and kinetic coefficient of friction.
1. Draw the free body diagram of the forces acting on the cylinder while rolling, be sure you indicate the direction
of the centre of mass
2. Write down an expression for the minimum coefficient of friction which ensures that the cylinder rolls and does
not slip
3. The cylinder now rolls onto a flat surface. What is the speed of the centre of mass?
Transcribed Image Text:A cylinder is rolling down a plane which has the angle theta with the horisontal. The cylinder starts from rest at height H. You can assume that the plane has the same static and kinetic coefficient of friction. 1. Draw the free body diagram of the forces acting on the cylinder while rolling, be sure you indicate the direction of the centre of mass 2. Write down an expression for the minimum coefficient of friction which ensures that the cylinder rolls and does not slip 3. The cylinder now rolls onto a flat surface. What is the speed of the centre of mass?
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