Time period in harmonic oscillation.

[LoveBoy]

Homework Statement

Homework Equations

Find Time Period.
Find the error in my solution.

The Attempt at a Solution

Where i am wrong ?

 

[gneill]

I'm not sure, but I strongly suspect that the phrase, "The potential energy of a harmonic oscillation if mass 2 kg in its resting position is 5 joules", is meant to convey that the at the equilibrium position the spring (or spring-like component of the oscillator) has a displacement from its relaxed position resulting in 5 joules of potential energy stored in the spring.

Think of a vertically arranged mass-spring oscillator. When the system is at rest with the mass hanging at the equilibrium position the spring will be stretched from its relaxed state. So during oscillations there will be some PE in the spring even as the mass passes through the equilibrium point.

 

[gneill]

Homework Equations

Find Time Period.
Find the error in my solution.

By the way, the Relevant equations portion of the template is not for more problem statement or questions. It's meant for you to list equations that you believe are pertinent to the type of problem being solved. For this problem you might list Hooke's law, your energy equation, the relationship between angular frequency and period, and so forth.

 

[drvrm]

Where i am wrong ?

i think you have to include the resting position of potential energy -5 J
from rest position if it gets disturbed it oscillates. so your measurement of energy may include the rest energy.
in oscillations only extra energy from this rest is being utilised- so total energy = resting energy + oscillatory energy