Question

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

Answer 1

C) T

Step-by-step explanation:

`M` = Mass attached to an ideal spring

`A` = Amplitude of the motion

`T` = Time period of oscillation

`k` = Spring constant of the spring

`A` = Amplitude of the motion

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

`T = 2\pi \sqrt{(M)/(k) }`

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