(Solved): apparatus called a force table. The force table consists of a round, level platform marked in degr ...

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 \( m_{1}=0.165 \mathrm{~kg} \) is located at \( \theta_{1}=24.5^{\circ} \), and a second mass of \( m_{2}=0.211 \mathrm{~kg} \) is located at \( \theta_{2}=279^{\circ} \). Calculate the mass \( m_{3} \) and the angular position \( \theta_{3} \) (in degrees) that will balance the system and hold the ring stationary over the c 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 \( m_{1}=0.165 \mathrm{~kg} \) is located at \( \theta_{1}=24.5^{\circ} \), and a second mass of \( m_{2}=0.211 \mathrm{~kg} \) is located at \( \theta_{2}=279^{\circ} \). Calculate the mass \( m_{3} \) and the angular position \( \theta_{3} \) (in degrees) that will balance the system and hold the ring stationary over the