4. A mass of 1 kg is attached at the lower end of a light string
of 1m 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 with the vertical (see figure). The tension
in the string is 12N.
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 angle ?
