The three ropes shown in the figure are tied to a steel ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown. If the tension in rope 2 is $110\mathrm{N}$, what is the mass of the steel ring?

What minimum force F is needed to lift a piano (mass M) using the pulley apparatus shown in Fig. 4–64? Determine the tension in each section of rope: F_T1, F_T2, F_T3 and F_T4. Assume pulleys are massless and frictionless, and that ropes are massless.

The double Atwood machine shown in Fig. 4–55 has frictionless, massless pulleys and cords. Determine the tensions F_TA and F_TC in the cords.

A 75-kg petty thief wants to escape from a third-story jail window. Unfortunately, a makeshift rope made of sheets tied together can support a mass of only 62 kg. How might the thief use this 'rope' to escape? Give a quantitative answer.