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

Answer:

C) T

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

$T = 2\pi \sqrt{\frac{M}{k} }$

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