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 = 1.5 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 O if the mass cannot set up a standing wave)? Oscillator (a) Number i (b) Number i Units Units O

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 = 1.5 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 O if the mass cannot set up a standing wave)? Oscillator (a) Number i (b) Number i Units Units O

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A mass of 0.38 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.26 m)cos[(16 rad/s)t]. Determine the following. %3D (a) amplitude of oscillation for the oscillating mass How does the amplitude of oscillation compare to the magnitude of the maximum displacement from equilibrium? m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period m (d) position of the mass one-third of a period after it has been released (e) time it takes the mass to get to the position x = -0.10 m after it has been released
Part 2) An organ pipe of length L = 4.6 m is open at both ends. It is driven to oscillate with a standing wave that has two nodes within the pipe. (a) What is the wavelength of the standing wave? m (b) If the speed of sound in air is 330m/s, what is the frequency that the organ pipe is oscillating at in this mode? Hz
A small piece of rounded stone perforated for threading is sliding on a wire which is hanging freely in the shape of a cosh function. Assume the stone moves with no friction. For very small displacements in x, what is the frequency of oscillation? You may use for the height of the wire and thus the height of the stone as a function of x the Taylor series expansion of cosh. G(x) =1 + x2/2 + x4/24 + ...
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 = 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)?
Two particles oscillate in simple harmonic motion with amplitude A about the centre of a common straight line of length 2A. Each particle has a period of 1.5 s, and their phase constants differ by 4 rad. (a) How far apart are the particles (in terms of A) 0.5 s after the lagging particle leaves one end of the path? Enter the exact answer in terms of A. ab sin (a) Ω
A disk of radius 0.25 meters is attached at its edge to a light (massless) wire of length 0.50 meters to form a physical pendulum. Assuming small amplitude motion, calculate its period of oscillation. For a disk, I = (1/2)MR2 about its center of mass.
Problem 5: A mass m = 1.81 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 86 N/m and negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion. At time t = 0 the mass is observed to be at a distance d = 0.55 m below its equilibrium height with an upward speed of vo = 4.1 m/s. Determine the phase angle of the motion, in radians. ) Determine the amplitude of the motion, in m. Determine the distance from equilibrium, in m, when the mass moves with a speed half its initial speed.
(a) A pendulum is made from a 40 g mass hanging on a 50 cm long string. The pendulum oscillates with a frequency of 0.70 Hz and an amplitude of 10 degrees. (i) If the mass is doubled to 80 g, what would the new frequency be? (ii) If the string length is doubled to 100 cm, what would the new frequency be? (iii) If the amplitude is doubled to 20 degrees, what would the new frequency be?