The figure shows the top view of an object of mass m sitting on a horizontal frictionless surface, connected to two walls by two stretched rubber bands of length L. The tension in each rubber band is T when the object is stationary. Find an expression for the frequency of oscillations perpendicular to the rubber bands. Assume that the amplitude of oscilla- tions is sufficiently small such that the tension in the rubber bands is essentially unchanged as the object oscillates. Use small angle approximations to express your answer only in terms of the variables m, L and T. L Rubber bands L
The figure shows the top view of an object of mass m sitting on a horizontal frictionless surface, connected to two walls by two stretched rubber bands of length L. The tension in each rubber band is T when the object is stationary. Find an expression for the frequency of oscillations perpendicular to the rubber bands. Assume that the amplitude of oscilla- tions is sufficiently small such that the tension in the rubber bands is essentially unchanged as the object oscillates. Use small angle approximations to express your answer only in terms of the variables m, L and T. L Rubber bands L
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Transcribed Image Text:The figure shows the top view of an object of mass m sitting
on a horizontal frictionless surface, connected to two walls
by two stretched rubber bands of length L. The tension in
each rubber band is T when the object is stationary. Find
an expression for the frequency of oscillations perpendicular
to the rubber bands. Assume that the amplitude of oscilla-
tions is sufficiently small such that the tension in the rubber
bands is essentially unchanged as the object oscillates. Use
small angle approximations to express your answer only in
terms of the variables m, L and T.
Rubber bands
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I have used the concept of Newton's second law and Hook's law
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