Problem #0022 Mechanics Sub-menu Problem #0024 Chapters Chapters

23.

Problem 12.47P (HRW)

Wheels A and B as shown in the figure are connected by a belt that does not slip. The radius of the wheel B is three times the radius of the wheel A. What would be the ratio of the rotational inertias if both wheels had (a) the same angular momentum about their central axis and (b) the same rotational kinetic energies?

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Radius of the wheel B is three times the radius of the wheel A. That is

As the two wheels are connected by a belt which does not slip, the speeds of the rims of the wheels will be equal and their angular speeds will be related as

(a)

If both wheels have the same angular momentum

(b)

If both wheels have the same rotational kinetic energy