Please answer problems 1, 15, 16

For problem 16 please complete part A-G

(6%) Problem 16: The midpoint M of a guitar string is pulled a distance a' = 1.3 mm from equilibrium and released. Point M is observed to undergo simple harmonic motion with a freuuencv f = 16!? Hz. D A 14% Part (a) Calculate the angular frequency w of oscillation in radians per second. Grade Summary '5\" = I Deductions ll ' r Potential 100 'K: . Attempts remaining: ]_ Hints: ll ' .- deduction per hint. Hints remaining: i Fullback: |Jr .- deduction per feedback. - a 14% Part (D) Assume the displacement of point M from equilibrium as a function of timet after release is of the forth x(r) =xmm cos(wr + Eb). What is xmax in meters? - Q 14% Part (c) After the string is first released, how many seconds will elapse before it rst reaches its equilibrium position? - A 14% Part ((1) Calculate the maximum speed of point M during its oscillation \"m: in meters per second. - 8 14% Part to} Select the position(s) at which Point M reaches its maximum s peed. There may be more than one point where Point M reaches maximum speed. 0 A The phase constant for the graph presented is most nearly H _ H _ _ Grade Summary [:3 (p = 225 [:1 ll) - 90 Deductions 'l' r U ([1 = 135' [J tp = 315' Potential 100% ["1 - ["1 ' H (p 0 H tp 45 . . ._. _ ._. Subszsmns [J (p = 180 [J to = 270 Attempts remaining: 1 {1mm pcrattcmpl] _ def oiled View (6%) Problem 1: Suppose a piano tuner stretches a steel piano wire 6 .5 mm. The wire was originally 0.925 mm in diameter, 1.31 m long, and has a Young's modulus of2.10 x 1011 N/mz. Randomized Variables [02131111 1:6.5mm d:0.925mm 5} Calculate the force a piano tuner applies to stretch the steel piano wire in Newtons. Hints: F=| tanhO cotanho Degrees O Radians S ubmit Hint deduction per hint. Hints remaining: _ deduction per feedback. Grade Sumn Deductions Potential Submissions Attempts rem ( per atl detailed \\ it w