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An infinite stretched string lies along the x-axis. The tension in the string is 100N and its density is 10 g/m.

When a sinusoidal wave propagates along the string, the time for a particular point on the string to move from maximum displacement to zero is 0.2 sec. The maximum displacement of any point on the string is 0.2 mm.

What is the (a) angular frequency and (b) the wavelength of the wave.

The picture shows snapshots of the wave at two different times, tb (blue) and tg (green).

(c) If tb > tg, write an equation for the displacement from equilibrium of any point along the string at any time.

(d) If tb < tg, write an equation for the displacement of any point on the string at any time.

(e) What is the maximum transverse velocity of any point on the string?

(f) What is the maximum transverse acceleration of any point on the string?

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