Define a simple harmonic motion.

Calculate the total energy of a simple harmonic motion.

Find an expression for the time period of a loaded spring in simple harmonic motion.

The potential energy function for a particle executing linear simple harmonic motion is given by V(x) =kx^2/2, where k is the force constant of the oscillator. For k = 0.5 N ^-1 , the graph of V(x) versus x is shown in Fig. 6.12. Show that a particle of total energy 1 J moving under this potential must ‘turn back’ when it reaches x = ± 2 m.,br>

What are the characteristics of a simple harmonic motion?

In a simple harmonic motion at what position the acceleration becomes zero.

State how acceleration is related to displacement in simple harmonic motion and mention the characteristics of this type of motion.

Define an image.

Show that the motion of a loaded spring is simple harmonic. Find an expression for its time period.

How motion of a loaded spring is simple harmonic?