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A wooden plank rests on two soup cans laid on their sides.

Chapter 10, Problem 109GP

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QUESTION:

A wooden plank rests on two soup cans laid on their sides. Each can has a diameter of 6.5 cm, and the plank is 3.0 m long. Initially, one can is placed 1.0 m inward from either end of the plank, as Figure 10–29 shows. The plank is now pulled 1.0 m to the right, and the cans roll without slipping. (a) How far does the center of each can move? (b) How many rotations does each can make?

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QUESTION:

A wooden plank rests on two soup cans laid on their sides. Each can has a diameter of 6.5 cm, and the plank is 3.0 m long. Initially, one can is placed 1.0 m inward from either end of the plank, as Figure 10–29 shows. The plank is now pulled 1.0 m to the right, and the cans roll without slipping. (a) How far does the center of each can move? (b) How many rotations does each can make?

ANSWER:

Step 1 of 2

Part a

We are required to calculate the distance moved by center of each can.

Total distance moved by the plank is 1.0 m.

Therefore, the center of each can moves by 1.0/2 m = 0.5 m.

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