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?.

Answer 1

When amplitude of motion increases to 2a the time period remains the same.

The formula for spring mass system is given by

                          T = 2π√m/k

 where,            k = spring constant

                         m= mass of spring

                         T = time period

So, from here we get to know that time period is independent of amplitude, so we increase or decrease the amplitude of system there will be no effect on Time period of spring mass system.  

Thus, when amplitude of motion increases to 2a the time period remains the same.  

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