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- Consider a wave described by the wave function ,7T y (x,t)= 0.85m sin (-m 2 -1 х + -1 t + -), find the velocity of wave? 4 а. 1.6 m/s b. 0.36 m/s С. 0.57 m/s d. 0.63 m/sEx. 31 The equation of a progressive wave is Y 0.005 sin 2n 100 t- where all the 3. quantities are in S.I. units. Calculate the displacement of a particle located at a distance of 25 cm from the source, 0.01 sec after the wave starts.1. The figure shows a resonant oscillation pattern on a string of mass 2.500 g and length 0.800 m. The rope is under a tension of 325 N. 8.00 mm Ű pood. 0 -x (m) 0.800 Show Transcribed Text Determine (a) the harmonic number, (b) the speed of the waves on the string, (c) the first three resonant frequencies.
- 1. A sinusoidal wave traveling in positive x direction has an amplitude of 15.0 cm, a wavelength of 40.0 cm and a frequency of 8.0 Hz. Find а) b) the wave number, period, angular frequency, [15.71 m'; 0.125 s; 50.27 rad s'] speed of the wave. [3.2 m s] Figure beei the wroue prefilConsider a wave described by the wave function 5T y (x,t)= 0.50m sin (-m 9T -1 t + 10 - 3 4 , find the frequency of wave? а. 0.89 Hz b. 1.125 Hz С. 1.35 Hz d. 1.2 Hz8:10 P O 令 docs.google.com/forms/d/e :D Two sinusoidal waves traveling in the same medium have the equations: y1 = 1.4sim (-0, 25nt + 47x) y2 = 1.4sin (-0, 25nt + 4nx + n/3) The speed of the resultant wave is: A-0m/sec B-0.0625m/sec C- 16m/sec D- 8m/sec E- 1. 1m/sec A В C E The air density is 1.28Kg/m³. the mass of the empty balloon is 2g. Determine the diameter of the balloon so it can float by natural buoyancy knowing that the balloon is filled by Helium of density 0.17kg/ m³ . A-0.075m B-0. 12m C-0.043m D-0.212m E-0. 14m II
- 8 O D: 55]| 4 4:33 docs.google.com/forms 19 15 MCQS The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(TIX-100tt-2rt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is: None of the listed -0.6π m/s +0.6v3n m/s +0.6π m/s -0.6V3n m/s The equation of motion of a particle in simple harmonic motion is given a by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0,Ob.-49.9807 Oc 54.645 O d. 0.546 5 T A wave is described by the given wave function,y(x,) = 0.75m sin The velocity of the wave in meters per second O2.4 O0.51 04.67 00.21 Short Ancwer Questions 2x2- marks 11to 12 are PAPT R DELL(1r) Now we can solve the PDE using the series solution u(x, t) B₁ Solve the wave equation with fixed endpoints and the given initial displacement and velocity. 8² u ?х2 = || = n=1 The coefficients A and B are Fourier coefficients are given by An An +Bn 81- 8²u Ət² 0 0 u(0, t) = 0, u(π, t) = 0,t> 0 u(x,0) = 1⁄2 x (x² − x²) du Ət It 0 = 0,0A wave is described by the given wave function ,, Calculate the following: 1) The velocity of the wave in meters per second = 2) The time period of the wave in seconds = 3) The wavelength of the wave in meters =The condition of underdamped and critically dumped waves respectively are as in 2m OA. Y 2m&6Recommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON