with units use the following values if needed I foot - 0 JO meter g 9 SO nt/u 1

Question

with units

use the following values if needed I foot - 0 JO meter g 9 SO nt/u 1 Some moments of inertia A lead block (mass 10 kp> is oscillating on a stiff spring (unstretched length 0 50 m), anchored to a wall its maximum speed is 20 cm/s All 2 0s its speed is 12 cm/x and its displacement from equilibrium is 4 0 cm What is the amplitude of its motion? A wave disturbance is described by the function You are inquired to experiment With waves, so you have strung uniform steel wire between two posts, 100 in apart and find that the fundamental mode has a frequency of 300 II/. a What is the second overtone frequency of this wire? I) What is its fourth harmonic? A water wave demonstration lank is 30 in long At one end, at the origin, Mary is generating waves At the other end Paul is generating waves described by y All organ pipe is effectively open at one end, closed at the other, and has a fundamental frequency of 110 Hz How long is the pipe? What should be the fifth resonance frequency for this pipe?

Explanation / Answer

1) Vmax = AW = 20 cm/s

V = W*sqrt(A^2-x^2)

12^2 = (AW)^2 - W^2*x^2

144 = 400 - W^216

W = 4

AW = 20 =====> A = 5 cm



2) a) J = (-5.4)/((40*-0.25)+(30*0.5)+(5*3)+500)= ?10.38e?3

b) transverse

3) a) f = 3fo = 900Hz

b) f = 4f0 = 1200 Hz

4) Y1 = 0.02*cos((3.14*4*20)/18) -8)= 0.0189 m

Y2 = 0.04*cos(((3.14*2*20)/6)+4) = 0.0392074 m

Y = Y1+Y2 = 0.0581074 m

5) a) fo = V/4L========> L = V/4fo = 330/(4*110)= 0.75 m

b) f5 = 9fo = 990 Hz

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