Question

The amplitude of oscillation for the spring-mass system pictured above is $8.0cm$.
What is the frequency of oscillation for this spring-mass system if the mass moves from position $1$ to position $2$ in $2.5$ seconds?

• A. $2.5Hz$
• B. $10.0Hz$
• C. $0.4Hz$
• D. $5.0Hz$
• E. $0.10Hz$

Answer 1

The correct option is E $0.10Hz$

This spring-mass system is doing SHM , if we start motion from position 2 , the time taken by the mass to come again at position 2 (one complete vibration) will be $=4\times 2.5=10.0s$ ,this is the time period of oscillation of spring-mass system , therefore frequency of oscillation ,

$f=1/T=1/10.0=0.10Hz$