The figure shows a uniform, horizontal beam (length = 10 m,…

The figure shows a uniform, horizontal beam (length = 10 m, mass = 35 kg) that is pivoted at the wall, with its far end supported by a cable that makes an angle of 51° with the horizontal. If a person (mass = 80 kg) stands 3.0 m from the pivot, what is the tension (in N) in the cable?

Ten girls, of mass m=35kg each, initially stand at different…

Ten girls, of mass m=35kg each, initially stand at different points on the rim of a merry-go-round (essentially a disk that spins).  The merry-go-round has a moment of inertia of 800 kgm^2 and a radius of 4.0m.  The merry-go-round has an initial angular velocity of 0.20 rad/s and rotates freely on frictionless bearings.  On a signal the girls all start to move toward the center of the merry-go-round until they reach a distance of 1.5m from the center, where they stand again.  Find the new angular velocity of the system (in rad/sec).

The figure shows a uniform, horizontal beam (length = 10 m,…

The figure shows a uniform, horizontal beam (length = 10 m, mass = 35 kg) that is pivoted at the wall, with its far end supported by a cable that makes an angle of 51° with the horizontal. If a person (mass = 80 kg) stands 3.0 m from the pivot, what is the tension in the cable?