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A spring with spring constant k hangs vertically. Fermina hangs a mass from the spring and displaces it from its equilibrium position so that it oscillates up and down at a frequency f. She then removes this mass and replaces it with a mass with four times the mass of the original one, and sets it to oscillate again. What will the frequency be now? A. f/2 В. 4f C. f/4 D. 2f

A spring with spring constant k hangs vertically. Fermina hangs a mass from the spring and displaces it from its equilibrium position so that it oscillates up and down at a frequency f. She then removes this mass and replaces it with a mass with four times the mass of the original one, and sets it to oscillate again. What will the frequency be now? A. f/2 В. 4f C. f/4 D. 2f

College Physics
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)...
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### Question 7: A spring with spring constant \( k \) hangs vertically. Fermina hangs a mass from the spring and displaces it from its equilibrium position so that it oscillates up and down at a frequency \( f \). She then removes this mass and replaces it with a mass four times the mass of the original one and sets it to oscillate again. What will the frequency be now? **Options:** - A. \( f/2 \) - B. \( 4f \) - C. \( f/4 \) - D. \( 2f \) The correct answer is not marked, but the following multiple choice options are available: - B (unselected) - C (unselected) - D (unselected) - A (unselected) ### Question 8: 1 point The period of a simple harmonic oscillator is 0.04 s. What is its angular frequency? **Options:** - A. \( 25\pi \) rad/s - B. \( 50 \) rad/s - C. \( 50\pi \) rad/s - D. \( 40\pi \) rad/s This question also appears with the multiple-choice options unselected and each choice follows the typical format of angluar frequency given a period.
Transcribed Image Text:### Question 7: A spring with spring constant \( k \) hangs vertically. Fermina hangs a mass from the spring and displaces it from its equilibrium position so that it oscillates up and down at a frequency \( f \). She then removes this mass and replaces it with a mass four times the mass of the original one and sets it to oscillate again. What will the frequency be now? **Options:** - A. \( f/2 \) - B. \( 4f \) - C. \( f/4 \) - D. \( 2f \) The correct answer is not marked, but the following multiple choice options are available: - B (unselected) - C (unselected) - D (unselected) - A (unselected) ### Question 8: 1 point The period of a simple harmonic oscillator is 0.04 s. What is its angular frequency? **Options:** - A. \( 25\pi \) rad/s - B. \( 50 \) rad/s - C. \( 50\pi \) rad/s - D. \( 40\pi \) rad/s This question also appears with the multiple-choice options unselected and each choice follows the typical format of angluar frequency given a period.
Pendulum A has length \( L \) and a bob of mass \( M \) at its end. Pendulum B has length \( L/4 \) and a bob of mass \( M/9 \) at its end. If both pendulums are set in motion with small amplitude oscillations, what is the ratio of their frequencies \( f_A/f_B \)? A. \( 2/1 \) B. \( 1/4 \) C. \( 1/2 \) D. \( 2/3 \)
Transcribed Image Text:Pendulum A has length \( L \) and a bob of mass \( M \) at its end. Pendulum B has length \( L/4 \) and a bob of mass \( M/9 \) at its end. If both pendulums are set in motion with small amplitude oscillations, what is the ratio of their frequencies \( f_A/f_B \)? A. \( 2/1 \) B. \( 1/4 \) C. \( 1/2 \) D. \( 2/3 \)
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