contestada

A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is the period if the amplitude of the motion is increased to 2A? A) T B) 4T C) T D) 2T E) T/2

Respuesta :

Answer:

C) T

Explanation:

[tex]M[/tex] = Mass attached to an ideal spring

[tex]A[/tex] = Amplitude of the motion

[tex]T[/tex] = Time period of oscillation

[tex]k[/tex] = Spring constant of the spring

[tex]A[/tex] = Amplitude of the motion

Time period of oscillation of the mass attached to the spring is given as

[tex]T = 2\pi \sqrt{\frac{M}{k} }[/tex]

So we see that the time period does not depend on the amplitude. hence the period of oscillation remains the same.

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