Question

This is a repeat as I was unable to follow handwritten script The midpoint of a...

This is a repeat as I was unable to follow handwritten script

The midpoint of a guitar string executes simple harmonic motion with motion following the

Formula x(t) = A sin(ωt + φ). It has an angular frequency of ω = 2.76 × 103 s1 and an

Amplitude of A = 1.60mm. Take the phase constant to be φ = π/2.

(a) What is the period of oscillation of the string?

(b) What is the maximum speed of the string during this motion?

(c) What is the maximum magnitude of the acceleration of the string?

(d) Determine the initial displacement, velocity, and acceleration of the

      midpoint of the string.

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