Auniform chain of weight under gravity. prove, with the usual notation, that w per unit length hangs freely =c sec s c tan /, y a length 21 of this chain hangs symmetrically between fixed points a, b and supports a weight wl at its mid-point m. given that the chain at m is inclined at 30° to the horizontal, show that the depth of m below ab is /(/3 - 1), and find the distance ab

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?

Yvette hangs a 2.4kg bird feeder in the middle of a rope tied between two trees. the feeder creates a tension of 480 n in each side of the the rope.

Why do astronauts in the space shuttle weigh less?