Show that the vertical oscillations of a mass suspended by a light helical spring are simple harmonic, and obtain an expression for the period. A small mass rests on a scale-pan supported by a spring; the period of vertical oscillations of the scale-pan and mass is 0.5 s. It is observed that when the amplitude of the oscillation exceeds a certain value, the mass leaves the scale-pan. At what point in the motion does the mass leave the scale-pan, and what is the minimum amplitude of the motion for this to happen? [S]
Show that the vertical oscillations of a mass suspended by a light helical spring are simple harmonic, and obtain an expression for the period. A small mass rests on a scale-pan supported by a spring; the period of vertical oscillations of the scale-pan and mass is 0.5 s. It is observed that when the amplitude of the oscillation exceeds a certain value, the mass leaves the scale-pan. At what point in the motion does the mass leave the scale-pan, and what is the minimum amplitude of the motion for this to happen? [S]
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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![Show that the vertical oscillations of a mass
suspended by a light helical spring are simple
harmonic, and obtain an expression for the
period.
A small mass rests on a scale-pan supported
by a spring; the period of vertical oscillations
of the scale-pan and mass is 0.5 s. It is
observed that when the amplitude of the
oscillation exceeds a certain value, the mass
leaves the scale-pan. At what point in the
motion does the mass leave the scale-pan,
and what is the minimum amplitude of the
motion for this to happen?
[S]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6d9c67-6f13-49d2-ac4d-2d996f90a88b%2F6cfc027d-8b11-4001-af7d-b82344a52931%2Fp0y8r2q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that the vertical oscillations of a mass
suspended by a light helical spring are simple
harmonic, and obtain an expression for the
period.
A small mass rests on a scale-pan supported
by a spring; the period of vertical oscillations
of the scale-pan and mass is 0.5 s. It is
observed that when the amplitude of the
oscillation exceeds a certain value, the mass
leaves the scale-pan. At what point in the
motion does the mass leave the scale-pan,
and what is the minimum amplitude of the
motion for this to happen?
[S]
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