An object of mass m is connected to two rubber bands of length L, each under tension F, as in Figure P13.72. The object is displaced vertically by a small distance y. Assuming the tension does not change, show that (a) the restoring force is - (2F/L)y and (b) the system exhibits simple harmonic motion with an angular frequency o = V2F/ mL. Figure P13.72
An object of mass m is connected to two rubber bands of length L, each under tension F, as in Figure P13.72. The object is displaced vertically by a small distance y. Assuming the tension does not change, show that (a) the restoring force is - (2F/L)y and (b) the system exhibits simple harmonic motion with an angular frequency o = V2F/ mL. Figure P13.72
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 62P
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Question
![An object of mass m is connected to two rubber bands
of length L, each under tension F, as in Figure P13.72. The
object is displaced vertically by a small distance y. Assuming
the tension does not change, show that (a) the restoring force
is - (2F/L)y and (b) the system exhibits simple harmonic
motion with an angular frequency o = V2F/ mL.
Figure P13.72](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bea57f1-d65f-4a50-89b7-d5ed41cb0254%2Fa6ed6bc6-bd21-493a-9a27-abccc0cb54bf%2Fcag6edk.png&w=3840&q=75)
Transcribed Image Text:An object of mass m is connected to two rubber bands
of length L, each under tension F, as in Figure P13.72. The
object is displaced vertically by a small distance y. Assuming
the tension does not change, show that (a) the restoring force
is - (2F/L)y and (b) the system exhibits simple harmonic
motion with an angular frequency o = V2F/ mL.
Figure P13.72
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