The uniform, slender rod AB has mass m and length L. It is pinned to a fork (at point O), with this fork attached to a vertical shaft. The masses of the fork and shaft may be neglected, as well as any friction in the pinned joint. The cord keeps the rod AB at a constant angle while the shaft is brought up to speed. Once the shaft sustains a constant angular speed, the cord is cut. Show that the equations governing the ensuing motion are given by:.

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?

An ideal gas is held in a container at constant volume. initially, its temperature is 5 degrees c and its pressure is 1.2 atm. what is its pressure when its temperature is 43 degrees c? answer in units of atm

Hen a gfci receptacle device is installed on a 20-ampere branch circuit (12 awg copper), what is the minimum volume allowance (in cubic inches) required for conductor fill for each conductor in the outlet box?