What is the circumference of a circle with a diameter of 1.2 meters?

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The circumference of a circle with a diameter of 1.2 meters is calculated as approximately 3.77 meters using the formula πd. In the context of a cylinder rolling down a slope, the distance mass B is lifted is determined to be 10 meters. This total distance accounts for both the cylinder's rotation and the distance it travels down the hill. The discussion highlights the relationship between the cylinder's movement and the lifting of mass B. Overall, the calculations and concepts presented clarify the mechanics involved in the scenario.
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Cylinder A in following figure rolls 5m down the slope. What distance is mass B lifted?
( Ans. SB= 10 m )

pulley.jpg


circumference of circle = πd = (3.14)(1.2) = 3.77

Not sure what to do next. I tried Pythagoras theorem, although it's probably not needed.

Please help.
 
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So the rope winds around the cylinder while the cylinder is moving down the hill. Suppose the rope doesn't wind around the cylinder. By how much would B be lifted? By how much does the cylinder rotate after it rolls 5 m downhill? Add the two distances together and you get 10 m.
 
Thanks man. It makes perfect sense to me now.
 

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