An unknown mass, m1, hangs from a mass less string and descends with an acceleration g/2. The other end is attached to a mass m2which slides on a frictionless horizontal table. The string goes over a uniform cylinder of mass m2/2 and radius R. The cylinder rotates about a horizontal axis without friction and the string does not slip on the cylinder. Express your answers in parts a,b, c in terms of g, m2 and R.
a) What is the tension in the horizontal section of the string?
b) What is the tension in the vertical section of the string?
c) What is the value of the unknown mass m1?