MathDB

In the following figure, the bigger wheel has circumference

12

m and the inscribed wheel has circumference

8

P_{1}

denotes a point on the bigger wheel and

P_{2}

denotes a point on the smaller wheel. Initially

P_{1}

and

P_{2}

coincide as in the figure. Now we roll the wheels on a smooth surface and the smaller wheel also rolls in the bigger wheel smoothly. What distance does the bigger wheel have to roll so that the points will be together again?

Problem Statement