A uniform rod of length 2l and mass m hangs from a small smooth ring of mass M free to slide on a smooth horizontal rail. The rod has moment of inertia I about its center of mass, and swings in the vertical plane containing the rail. Required:
Examine the limits M → [infinity] and M → 0. Explain the results.

Air conditioners not only cool air, but dry it as well. suppose that a room in a home measures 5.0m×9.0m×2.4m . if the outdoor temperature is 30 ∘c and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? the vapor pressure for water at 30 ∘c is 31.8 torr.