How does the system behave when the thin rod of mass M-10. 0 kg and length L-60. 0 cm, connected to a wall by
How does the system behave when the thin rod of mass M-10. 0 kg and length L-60. 0 cm, connected to a wall by a hinge, has a rope of mass m = 40.0 g and length 1-1.00 m attached to its end? Also, assume that when the rope is disturbed, the rod remains relatively stationary without significant jiggle.' A. If the rope is plucked to generate the lowest-frequency standing wave, what is the resonant frequency of this wave (first harmonic)? B. Assuming A = 10. 0 cm represents the amplitude of the standing wave, defined as the maximum displacement from equilibrium, the displacement y of this point as a function of time can be expressed as y = Asin wt, where w is the angular frequency. What is the maximum velocity of this point during its oscillations? C. If the second harmonic is achieved on the same string, identify the point(s) on the rope with an amplitude of 10. 0 cm. Provide this information either by drawing a picture or specifying the distance from the hinge. Justify your answer. Rope Rod
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