4:47A docs.google.comThe equation of motion of a particle insimple harmonic motion is given by:x(t) = 0.3cos(wt), where x is in metersand t is in seconds. At x = 0, theparticle's velocity is v = -1.256 m/s. Theperiod of oscillation, T, equals:3 sec0.5 sec0.25 sec1.5 sec1 secA block-spring system has a maximumrestoring force Fmax = 0.1 N. If theamplitude of the motion is A = 0.01 mand the mass of the block is m = 400 gthen the angular frequency w is equalto1.25 rad/s20 rad/s10 rad/s 4:47A docs.google.com0.046 JA musical note on a piano has afrequency of 40 Hz. If the tension inthe 2-m string is 308 N, and one-halfwavelength occupies the string, what isthe mass of the wire?0.031 kg0.024 kg0.047 kg0.019 kg0.040 kgThe equation of motion of a particle insimple harmonic motion is given by:x(t) = 0.3cos(uwt), where x is in metersand t is in seconds. At x = 0, theparticle's velocity is v = -1.256 m/s. Theperiod of oscillation, T, equals:3 sec0.5 sec

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Description: 4:47A docs.google.comThe equation of motion of a particle insimple harmonic motion is given by:x(t) = 0.3cos(wt), where x is in metersand t is in seconds. At x = 0, theparticle's velocity is v = -1.256 m/s. Theperiod of oscillation, T, equals:3 sec0

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The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(uwt), where x is in meters and t is in seconds. At x = 0, the

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

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When a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T=2M+(ms/3)k A two-part experiment is conducted with the use of blocks of various masses suspended vertically from the spring as shown in Figure P15.76. (a) Static extensions of 17.0, 29.3, 35.3, 41.3, 47.1, and 49.3 cm are measured for M values of 20.0, 40.0, 50.0, 60.0, 70.0, and 80.0 g, respectively. Construct a graph of Mg versus x and perform a linear least-squares fit to the data. (b) From the slope of your graph, determine a value for k for this spring. (c) The system is now set into simple harmonic motion, and periods are measured with a stopwatch. With M = 80.0 g, the total time interval required for ten oscillations is measured to be 13.41 s. The experiment is repeated with M values of 70.0, 60.0, 50.0, 40.0, and 20.0 g, with corresponding time intervals for ten oscillations of 12.52, 11.67, 10.67, 9.62, and 7.03 s. Make a table of these masses and times. (d) Compute the experimental value for T from each of these measurements. (e) Plot a graph of T2 versus M and (f) determine a value for k from the slope of the linear least-squares fit through the data points. (g) Compare this value of k with that obtained in part (b). (h) Obtain a value for ms from your graph and compare it with the given value of 7.40 g.
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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
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