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In: Physics

As in the figure below, a simple harmonic oscillator is attached to a rope of linear...

As in the figure below, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 ✕ 10−2 kg/m, creating a standing transverse wave. There is a 3.5-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 44.1 rad/s and an amplitude of 255.0 cm.

(a) What is the distance between adjacent nodes?
m

(b) If the angular frequency of the oscillator doubles, what happens to the distance between adjacent nodes? (Enter the new distance.)
m

(c) If the mass of the block is doubled instead, what happens to the distance between adjacent nodes? (Enter the new distance.)
m

(d) If the amplitude of the oscillator is doubled, what happens to the distance between adjacent nodes? (Enter the change in distance.)
m

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