Question

A laboratory on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a separate pulley clamped to the edge of the platform, and then tied to a freely-hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface.

A mass of ?1=0.145 kgm1=0.145 kg is located at ?1=28.5∘θ1=28.5∘ , and a second mass of ?2=0.223 kgm2=0.223 kg is located at ?2=275∘θ2=275∘ . Calculate the mass ?3m3 and the angular position ?3θ3 (in degrees) that will balance the system and hold the ring stationary over the center of the platform.

Answer 1