The four strings pass over the bridge of a violin, as shown below. The strings make and angle of 72.0° with the normal to the plane of the instrument on either side of the bridge. The resulting total normal force pressing the bridge into the violin is 1.00 103 N. The length of the strings from the bridge to the peg to which each is attached is 32.6 cm.

(a) Determine the tension in the strings, assuming the tension is the same for each string.

(b) One of the strings is plucked out a distance of 4.00 mm as shown. Make a free-body diagram showing all of the forces acting on the segment of the string in contact with the finger (not shown), and determine the force pulling the segment back to its equilibrium position. Assume the tension in the string remains constant during the pluck.

(c) Determine the work done on the string in plucking it out that distance. Remember that the net force pulling the string back to its equilibrium position is changing as the string is being pulled out, but assume that the magnitudes of the tension forces remain constant.