Concept explainers
GO In Fig. 16-42, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.20 m, linear density µ = 1.6 g/m, and the oscillator frequency f = 120 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m = 1.00 kg?
Figure 16-42 Problems 58 and 60.
Want to see the full answer?
Check out a sample textbook solutionChapter 16 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Fundamentals Of Thermodynamics
Campbell Essential Biology with Physiology (5th Edition)
Organic Chemistry
Principles of Anatomy and Physiology
Campbell Biology: Concepts & Connections (9th Edition)
Human Anatomy & Physiology (2nd Edition)
- Check Your Understanding Why are completely undamped harmonic oscillators so rare?arrow_forwardShow that, if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is approximately Q2(TotalenergyEnergylossduringoneperiod)arrow_forwardIn the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L= 1.2 m, linear density u = 1.6 g/m, and the oscillator frequency f= 200 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m 3 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator (a) Number Units (b) Number Unitsarrow_forward
- In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.1 m, linear density u = 0.8 g/m, and the oscillator frequency f = 130 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m = 4 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator P. 0.417 (a) Number Units kg No units (b) Number Unitsarrow_forwardIn the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.5 m, linear density μ = 1.0 g/m, and the oscillator frequency f = 160 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m= 4 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator (a) Number i (b) Number O m ! Units kg Units No unitsarrow_forwardIn the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 0.8 m, linear density μ = 1.6 g/m, and the oscillator frequency f = 200 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q.(a) What mass m allows the oscillator to set up the fourth harmonic on the string?(b) What standing wave mode, if any, can be set up if m = 4 kg (Give 0 if the mass cannot set up a standing wave)?arrow_forward
- In the figure, a string, tied to a sinusoidal oscillator at Pand running over a support at Q, is stretched by a block of mass m. Separation L = 1.1 m, linear density p = 0.8 g/m, and the oscillator frequency f = 130 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m = 4 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator 0.417 (a) Number Units [kg (b) Number Units No unitsarrow_forwardIn the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.4 m, linear density = 0.8 g/m, and the oscillator frequency f= 140 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m= 3 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator (a) Number i Units (b) Number i Units Marrow_forwardA string has a linear mass density μ = 0.007 kg/m, a length L = 0.70 m, a tension of FT = 110 N, and oscillates in a mode n = 3 . (a) What is the frequency of the oscillations? (b) Use the result in the preceding problem to find the change in the frequency when the tension is increased by 1.00% .arrow_forward
- The chemical bond between the two atoms in a diatomic oxygen molecule acts very much like aspring, such that each oxygen atom behaves like a simple harmonic oscillator. If we observe the oxygenatoms vibrating at a frequency of 3.0 1013 Hz, what is the spring constant of the O—O bond? Themass of an oxygen atom is 2.66 -26 kg.arrow_forwardA vertical wire of length L, cross-sectional area A and made of material of density ρ is fixed at its upper ends and supports a mass M of volume V at the other end. If the mass of the wire is negligible compared with M, use the following data to calculate the frequency of the fundamental mode of transverse vibration of the wire (a)before, (b) after M is totally immersed in water. Length L = 0.500m; Area of cross-section A = 7.50 x 10-7 m2; density ρ = 8.00 x 103 kgm-3; mass M = 5.00kg; Volume V = 3.75 x 10-4m3; Density of water = 1.00 x 103kgm-3.arrow_forwardIn Fig. 15-28, a spring–blocksystem is put into SHM in two experiments. In the first, the block ispulled from the equilibrium positionthrough a displacement d1 and thenreleased. In the second, it is pulledfrom the equilibrium positionthrough a greater displacement d2 and then released. Are the(a) amplitude, (b) period, (c) frequency, (d) maximum kinetic energy, and (e) maximum potential energy in the second experimentgreater than, less than, or the same as those in the first experiment?arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University