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A rope, under a tension of 234 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by y = (0.222 m)sin⁡(πx/6.00)sin⁡(12.0πt) where x = 0 at one end of the rope, x is in meters, and t is in seconds. What are (a) the length of the rope, (b) the speed of the waves on the rope, and (c) the mass of the rope? (d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

A rope, under a tension of 234 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by y = (0.222 m)sin⁡(πx/6.00)sin⁡(12.0πt) where x = 0 at one end of the rope, x is in meters, and t is in seconds. What are (a) the length of the rope, (b) the speed of the waves on the rope, and (c) the mass of the rope? (d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

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A rope, under a tension of 234 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by
y = ( 0.222 m ) sin ⁡ ( π x / 6.00 ) sin ⁡ ( 12.0 π t )
where x = 0 at one end of the rope, x is in meters, and t is in seconds. What are (a) the length of the rope, (b) the speed of the waves on the rope, and (c) the mass of the rope? (d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation? (a) Number i Units ◻ (b) Number i Units ◻ (c) Number i Units ◻ (d) Number i Units ◻

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