Peter vs Tire

Classical Mechanics Level 2

Peter puts a board on top of a tire, as shown. He pushes the board so that the tire rolls without slipping. If the tire moves by a distance of $2 \text{ m}$ , what is the distance Peter moves?

1 \text{ m}

2 \text{ m}

3 \text{ m}

4 \text{ m}

1 solution

Brian Charlesworth
Jul 2, 2018

Consider the final position of the initial point of contact of the board with the tire. The tire will travel the same distance $d$ as the length of board it comes into contact with, so the initial point of contact will be a distance $d$ ahead of the final point of contact, i.e., the initial point of contact will have travelled a total distance of $2d$ . Since Peter maintains a constant distance from the board's initial point of contact, he too will have travelled a distance of $2d$ , which in this instance is $2 \times 2 = \boxed{4}$ m.

Peter vs Tire

1 solution

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