In a demonstration, a l.2 kg horizontal rope is fixed in place at its two ends (x = 0 and x = 2.0 m) and made to oscillate up and down in the fundamental mode, at frequency 5.0 Hz. At t = 0, the point at x = 1.0m has zero displacement and is moving upward in the positive direction of a y axis with a transverse velocity of 5.0 m/s. What are?

(a) The amplitude of the motion of that point and

(b) The tension in the rope?

(c) Write the standing wave equation for the fundamental mode.