A mass of 1 kg is attached at the lower end of a light string of 1 m in length. The upper end of the string is held fixed and the mass is traveling at constant speed v along a horizontal circular path so that the string makes an angle of 30^o with the vertical (see figure).
 

a.    (10 points)
How many forces are acting on the 1 kg mass? What are these forces? Write down two equations of motion, one in the vertical direction and one in the horizontal direction.

b.    (5 points)
What is the tension in the string?