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Review. Alter removing one string while restringing his acoustic guitar, a student is distracted by a video game. His experimentalist roommate notices his inattention and attaches one end of the string, of linear density μ = 3.00 × 10-3 kg/m. to a rigid support. The other end passes over a pulley, a distance ℓ = 64.0 cm from the fixed end, and an object of mass m = 27.2 kg is attached to the hanging end of the string. The roommate places a magnet across the string as shown in Figure P31.35. The magnet does not touch the string, but produces a uniform field of 4.50 mT over a 2.00-cm length of the string and negligible field elsewhere. Strumming the string sets it vibrating vertically at its fundamental (lowest) frequency. The section of the string in the magnetic field moves perpendicular to the field with a uniform amplitude of 1.50 cm. Find (a) the frequency and (b) the amplitude of the emf induced between the ends of the string.
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Chapter 31 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
- A vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to find the position of the spring as function of a time t, with t in secondsarrow_forwardA vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to fink the position of the spring as function of the time t, with t in seconds Determine a diferential equation of the position of the mass at any time “t”, with t in secondsarrow_forwardA vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation that allows to find the position of the mass at any time (t), with t in secondsarrow_forward
- I need help with this Hw Problem?arrow_forwardx component y conponent z component = 204.44 = 255.5 = 472.78 Knowing that the tension is 555 lb in cable AB and 470 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables. y 45 in. 40 in. 60 in. 60 in. D The magnitude of the resultant of the forces at A is The angle defining the direction of the resultant force exis The angle defining the direction of the resultant force @yis[ The angle defining the direction of the resultant force 8, is lb.arrow_forwardA physics lab instructor is working on a new demonstration. She attaches two identical conducting spheres with mass m = 0.190 g to cords of length Las shown in the figure. There are two strings in the figure. The top of each string is connected to the ceiling, and both strings are connected at the same point. The bottom of each string is connected to a spherical mass labeled m. Both strings have length Land hang at an angle of θto the vertical, with the two strings on opposite sides of the vertical. Both spheres have the same charge of 8.00 nC, and are in static equilibrium when θ = 5.45°. What is L (in m)? Assume the cords are massless. m (b) What If? The charge on both spheres is increased until each cord makes an angle of θ = 10.9° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? nCarrow_forward
- Problem 19: While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T = 6.5 seconds.Randomized VariablesT = 6.5 seconds Part (a) Calculate the frequency of oscillation (in Hertz) of the chandelier. Part (b) Calculate the angular frequency ω of the chandelier in radians/second. Part (c) Determine the length L in meters of the chandelier. Part (d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.arrow_forwardBalanced pipe connection. Explain the features of the A and C ports. Calculate the reaction force/moment(s) at A and the tensile force in the cable.arrow_forward37. Review. A rod of mass 0.720 kg and radius 6.00 cm AMT rests on two parallel rails (Fig. P29.37) that are d = W 12.0 cm apart and L = 45.0 cm long. The rod carries a B Figure P29.37 Problems 37 and 38.arrow_forward
- A spring, for which k=48 Ib/ft, hangs in a vertical position with its upper end fixed. A mass weighing 16 Ib is attached to the lower end. After coming to rest, the mass is pulled down 2 inches and release. If the medium a resistance of v/64 determine the magnitude of the damping factor after 26 sec. 1/3 B) 2/3 1/5 (D 1/2 (E none of themarrow_forwardIf you shake a magnetic compass e and then set it down, you can watch the needle bounce back and forth around its equilibrium position. If this motion is unimpeded by friction, it is an example of simple harmonic motion 2. You may learn more about simple harmonic motion in Phys 1230, but we'll be seeing another example soon in Unit 8. In this case, energy is being transferred continually between magnetic potential energy and kinetic energy, and the energy is conserved if there is no friction. When there is no kinetic energy, the needle is the maximally deflected and its magnetic potential energy is maximum; when the magnetic potential energy is minimum, the needle is moving the fastest. Conservation of energy shows that KE (0) +U (0) = Umax (functions of angle, not multiplication). For your compass, the measured angle between maximum deflection and equilibrium is 58°. What percent of the maximum kinetic energy does the needle have when it is only deflected 29° from equilibrium? Give…arrow_forwardA length of string is attached to a speaker and passed over a pulley, as shown in the figure. A mass is attached to the hanging end of the string. The distance between the speaker and the pulley is L = 0.767 m. The entire length of the string is 1.11 m and the mass of the string is measured to be 0.396×10-3 kg. The speaker is connected to a function generator that is set to produce a sinusoidal waveform having frequency 53.5 Hz. This causes the string to oscillate in the third harmonic. 1. Determine the wavelength, in meters, of the standing transverse wave in the string for the third harmonic. 2. What is the propagation speed, in meters per second, of a transverse wave in the string? 3. What is the tension in the string, in newtons? 4. What is the mass, in kilograms, of the object hanging from the end of the string?arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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