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Kink 714 A closed loop of uniform string is rotated rapidly at some con- stant angular velocity u. The mass of the string is M and the radius is R. A tension 1' is set up circumferentially in the string as a result of its rotation. (a) By considering the instantaneous centripetal acceleration of a small segment of the string, show that the tension must be equal to Mw2R/2'n'. (b) The string is suddenly deformed at some point, causing a kink to appear in it, as shown in the diagram. Show that this oculd produce a distortion of the string that remains stationary with reSpoct to the laboratory, regardless of the particular values of M, w, and R. But is this the whole story? (Remember that pulses on a string may travel both ways.)